diff --git a/cmd/copyurl/copyurl.go b/cmd/copyurl/copyurl.go
index c15f4bed4..56e51ff03 100644
--- a/cmd/copyurl/copyurl.go
+++ b/cmd/copyurl/copyurl.go
@@ -13,7 +13,9 @@ import (
 	"github.com/rclone/rclone/fs"
 	"github.com/rclone/rclone/fs/config/flags"
 	"github.com/rclone/rclone/fs/operations"
+	"github.com/rclone/rclone/lib/errcount"
 	"github.com/spf13/cobra"
+	"golang.org/x/sync/errgroup"
 )
 
 var (
@@ -33,7 +35,7 @@ func init() {
 	flags.BoolVarP(cmdFlags, &printFilename, "print-filename", "p", printFilename, "Print the resulting name from --auto-filename", "")
 	flags.BoolVarP(cmdFlags, &noClobber, "no-clobber", "", noClobber, "Prevent overwriting file with same name", "")
 	flags.BoolVarP(cmdFlags, &stdout, "stdout", "", stdout, "Write the output to stdout rather than a file", "")
-	flags.BoolVarP(cmdFlags, &urls, "urls", "", stdout, "Use a .csv file of links to process multiple urls", "")
+	flags.BoolVarP(cmdFlags, &urls, "urls", "", stdout, "Use a CSV file of links to process multiple URLs", "")
 }
 
 var commandDefinition = &cobra.Command{
@@ -57,9 +59,16 @@ destination if there is one with the same name.
 Setting |--stdout| or making the output file name |-|
 will cause the output to be written to standard output.
 
-Setting |--urls| allows you to input a .csv file of urls in format:
-URL,FILENAME. If a filename is missing one will be autogenerated for the file,
-and it will otherwise continue as normal.
+Setting |--urls| allows you to input a CSV file of URLs in format: URL,
+FILENAME. If |--urls| is in use then replace the URL in the arguments with the
+file containing the URLs, e.g.:
+|||sh
+rclone copyurl --urls myurls.csv remote:dir
+|||
+Missing filenames will be autogenerated equivalent to using |--auto-filename|.
+Note that |--stdout| and |--print-filename| are incompatible with |--urls|.
+This will do |--transfers| copies in parallel. Note that if |--auto-filename|
+is desired for all URLs then a file with only URLs and no filename can be used.
 
 ### Troubleshooting
 
@@ -75,102 +84,95 @@ If you can't get |rclone copyurl| to work then here are some things you can try:
 		"groups":            "Important",
 	},
 	RunE: func(command *cobra.Command, args []string) (err error) {
-
-		//Check they gave all the args correctly
 		cmd.CheckArgs(1, 2, command, args)
 
-		//Create list to store the list of URLS
-		var urlList [][]string
-
-		if urls {
-			//Read the .csv file provided if --urls is enabled
-			File, error := os.Open(args[0])
-			if error != nil {
-				return errors.New("failed to open .csv file")
-			}
-			reader := csv.NewReader(File)
-			reader.FieldsPerRecord = -1
-			data, error := reader.ReadAll()
-			if error != nil {
-				return errors.New("failed reading .csv file")
-			}
-			//Save the list of urls to the urlList variable
-			urlList = data
-
-		} else {
-			//If its the non multi-url command, save only that, without attempting to read a file
-			urlList = make([][]string, 1)
-			urlList[0] = args
-		}
-
-		//Save per-file variables
-		dstFileNames := make([]string, len(urlList))
-		fsdsts := make([]fs.Fs, len(urlList))
-		autonames := make([]bool, len(urlList))
-
-		//Save the original input folder, prevents it being overwritten when adding onto the end
-		root := args[1]
-
-		if !stdout {
-			if len(args) < 2 {
-				return errors.New("need 2 arguments if not using --stdout")
-			}
-			if args[1] == "-" {
-				stdout = true
-			} else {
-
-				//Go over each of the URLs need transferring
-				for i := range urlList {
-					//Save autoFilenames
-					if autoFilename {
-						autonames[i] = true
-					} else if urls {
-
-						//If we are using multiple URLs, and they dont provide a name for one, set it to autogenerate one for it.
-						//This is because itd suck having it cancel midway through if you forgot to add the name of one.
-
-						autonames[i] = (len(urlList[i]) == 1 || urlList[i][1] == "")
-					}
-
-					if autonames[i] {
-						//If it is autonaming, generate the name.
-						//Set args[1] to the root, resetting it to the main directory. (Clears filenames from it)
-						args[1] = root
-						fsdsts[i] = cmd.NewFsDir(args[1:])
-					} else {
-						//If using multiple URLs, set it to the root and the name.
-						//Because again, args[1] gets appended to each round, so it has to be reset.
-						if len(urlList) > 1 {
-							args[1] = root + urlList[i][1]
-						}
-						//Otherwise your clear to go, as in the regular format,
-						//args[1] already contains the destination and filename for a single file
-						fsdsts[i], dstFileNames[i] = cmd.NewFsDstFile(args[1:])
-					}
-				}
-			}
-		}
 		cmd.Run(true, true, command, func() error {
-			//Go over each URL, to upload them
-			for i, url := range urlList {
-				//Genereate a new fs.Object for the file
-				var dst fs.Object
-				if stdout {
-					err = operations.CopyURLToWriter(context.Background(), url[0], os.Stdout)
-				} else {
-					//CopyURLs, with each individual link's information
-					dst, err = operations.CopyURL(context.Background(), fsdsts[i], dstFileNames[i], url[0], autonames[i], headerFilename, noClobber)
-					if printFilename && err == nil && dst != nil {
-						fmt.Println(dst.Remote())
-					}
-				}
-				if err != nil {
-					println(err)
-					return err
-				}
+			if !urls {
+				return run(args)
 			}
-			return nil
+			return runURLS(args)
 		})
 		return nil
 	},
 }
+
+var copyURL = operations.CopyURL // for testing
+
+// runURLS processes a .csv file of urls and filenames
+func runURLS(args []string) (err error) {
+	if stdout {
+		return errors.New("can't use --stdout with --urls")
+	}
+	if printFilename {
+		return errors.New("can't use --print-filename with --urls")
+	}
+	dstFs := cmd.NewFsDir(args[1:])
+
+	f, err := os.Open(args[0])
+	if err != nil {
+		return fmt.Errorf("failed to open .csv file: %w", err)
+	}
+	defer fs.CheckClose(f, &err)
+	reader := csv.NewReader(f)
+	reader.FieldsPerRecord = -1
+	urlList, err := reader.ReadAll()
+	if err != nil {
+		return fmt.Errorf("failed reading .csv file: %w", err)
+	}
+
+	ec := errcount.New()
+	g, gCtx := errgroup.WithContext(context.Background())
+	ci := fs.GetConfig(gCtx)
+	g.SetLimit(ci.Transfers)
+
+	for _, urlEntry := range urlList {
+		if len(urlEntry) == 0 {
+			continue
+		}
+		g.Go(func() error {
+			url := urlEntry[0]
+			var filename string
+			if len(urlEntry) > 1 {
+				filename = urlEntry[1]
+			}
+			_, err := copyURL(gCtx, dstFs, filename, url, filename == "", headerFilename, noClobber)
+			if err != nil {
+				fs.Errorf(filename, "failed to copy URL %q: %v", url, err)
+				ec.Add(err)
+			}
+			return nil
+		})
+	}
+	ec.Add(g.Wait())
+	return ec.Err("not all URLs copied successfully")
+}
+
+// run runs the command for a single URL
+func run(args []string) error {
+	var err error
+	var dstFileName string
+	var fsdst fs.Fs
+	if !stdout {
+		if len(args) < 2 {
+			return errors.New("need 2 arguments if not using --stdout")
+		}
+		if args[1] == "-" {
+			stdout = true
+		} else if autoFilename {
+			fsdst = cmd.NewFsDir(args[1:])
+		} else {
+			fsdst, dstFileName = cmd.NewFsDstFile(args[1:])
+		}
+	}
+
+	var dst fs.Object
+	if stdout {
+		err = operations.CopyURLToWriter(context.Background(), args[0], os.Stdout)
+	} else {
+		dst, err = copyURL(context.Background(), fsdst, dstFileName, args[0], autoFilename, headerFilename, noClobber)
+		if printFilename && err == nil && dst != nil {
+			fmt.Println(dst.Remote())
+		}
+	}
+	return err
+}
diff --git a/cmd/copyurl/copyurl_test.go b/cmd/copyurl/copyurl_test.go
new file mode 100644
index 000000000..1c4e32234
--- /dev/null
+++ b/cmd/copyurl/copyurl_test.go
@@ -0,0 +1,157 @@
+package copyurl
+
+import (
+	"context"
+	"errors"
+	"os"
+	"path/filepath"
+	"sync"
+	"sync/atomic"
+	"testing"
+
+	_ "github.com/rclone/rclone/backend/local"
+	"github.com/rclone/rclone/fs"
+	"github.com/rclone/rclone/fs/operations"
+	"github.com/stretchr/testify/assert"
+	"github.com/stretchr/testify/require"
+)
+
+func resetGlobals() {
+	autoFilename = false
+	headerFilename = false
+	printFilename = false
+	stdout = false
+	noClobber = false
+	urls = false
+	copyURL = operations.CopyURL
+}
+
+func TestRun_RequiresTwoArgsWhenNotStdout(t *testing.T) {
+	t.Cleanup(resetGlobals)
+	resetGlobals()
+
+	err := run([]string{"https://example.com/foo"})
+	require.Error(t, err)
+	assert.Contains(t, err.Error(), "need 2 arguments if not using --stdout")
+}
+
+func TestRun_CallsCopyURL_WithExplicitFilename_Success(t *testing.T) {
+	t.Cleanup(resetGlobals)
+	resetGlobals()
+
+	tmp := t.TempDir()
+	dstPath := filepath.Join(tmp, "out.txt")
+
+	var called int32
+
+	copyURL = func(_ctx context.Context, _dst fs.Fs, dstFileName, url string, auto, header, noclobber bool) (fs.Object, error) {
+		atomic.AddInt32(&called, 1)
+		assert.Equal(t, "https://example.com/file", url)
+		assert.Equal(t, "out.txt", dstFileName)
+		assert.False(t, auto)
+		assert.False(t, header)
+		assert.False(t, noclobber)
+		return nil, nil
+	}
+
+	err := run([]string{"https://example.com/file", dstPath})
+	require.NoError(t, err)
+	assert.Equal(t, int32(1), atomic.LoadInt32(&called))
+}
+
+func TestRun_CallsCopyURL_WithAutoFilename_AndPropagatesError(t *testing.T) {
+	t.Cleanup(resetGlobals)
+	resetGlobals()
+
+	tmp := t.TempDir()
+	autoFilename = true
+
+	want := errors.New("boom")
+	var called int32
+
+	copyURL = func(_ctx context.Context, _dst fs.Fs, dstFileName, url string, auto, header, noclobber bool) (fs.Object, error) {
+		atomic.AddInt32(&called, 1)
+		assert.Equal(t, "", dstFileName) // auto filename -> empty
+		assert.True(t, auto)
+		return nil, want
+	}
+
+	err := run([]string{"https://example.com/auto/name", tmp})
+	require.Error(t, err)
+	assert.Equal(t, want, err)
+	assert.Equal(t, int32(1), atomic.LoadInt32(&called))
+}
+
+func TestRunURLS_ErrorsWithStdoutAndWithPrintFilename(t *testing.T) {
+	t.Cleanup(resetGlobals)
+	resetGlobals()
+
+	stdout = true
+	err := runURLS([]string{"dummy.csv", "destDir"})
+	require.Error(t, err)
+	assert.Contains(t, err.Error(), "can't use --stdout with --urls")
+
+	resetGlobals()
+	printFilename = true
+	err = runURLS([]string{"dummy.csv", "destDir"})
+	require.Error(t, err)
+	assert.Contains(t, err.Error(), "can't use --print-filename with --urls")
+}
+
+func TestRunURLS_ProcessesCSV_ParallelCalls_AndAggregatesError(t *testing.T) {
+	t.Cleanup(resetGlobals)
+	resetGlobals()
+
+	tmp := t.TempDir()
+	csvPath := filepath.Join(tmp, "urls.csv")
+	csvContent := []byte(
+		"https://example.com/a,aaa.txt\n" + // success
+			"https://example.com/b\n" + // auto filename
+			"https://example.com/c,ccc.txt\n") // error
+	require.NoError(t, os.WriteFile(csvPath, csvContent, 0o600))
+
+	// destination dir (local backend)
+	dest := t.TempDir()
+
+	// mock copyURL: succeed for /a and /b, fail for /c
+
+	var calls int32
+	var mu sync.Mutex
+	var seen []string
+
+	copyURL = func(_ctx context.Context, _dst fs.Fs, dstFileName, url string, auto, header, noclobber bool) (fs.Object, error) {
+		atomic.AddInt32(&calls, 1)
+		mu.Lock()
+		seen = append(seen, url+"|"+dstFileName)
+		mu.Unlock()
+
+		switch {
+		case url == "https://example.com/a":
+			require.Equal(t, "aaa.txt", dstFileName)
+			return nil, nil
+		case url == "https://example.com/b":
+			require.Equal(t, "", dstFileName) // auto-name path
+			return nil, nil
+		case url == "https://example.com/c":
+			return nil, errors.New("network down")
+		default:
+			return nil, nil
+		}
+	}
+
+	err := runURLS([]string{csvPath, dest})
+	require.Error(t, err)
+	assert.Contains(t, err.Error(), "not all URLs copied successfully")
+	// 3 lines => 3 calls
+	assert.Equal(t, int32(3), atomic.LoadInt32(&calls))
+
+	// sanity: all expected URLs were seen
+	assert.ElementsMatch(t,
+		[]string{
+			"https://example.com/a|aaa.txt",
+			"https://example.com/b|",
+			"https://example.com/c|ccc.txt",
+		},
+		seen,
+	)
+}