diff --git a/select.c b/select.c
index 37e8b4b..4901277 100644
--- a/select.c
+++ b/select.c
@@ -23,9 +23,6 @@ along with 12to11.  If not, see <https://www.gnu.org/licenses/>.  */
 
 #include "compositor.h"
 
-/* Caveat: the MULTIPLE target implementation is completely untested
-   and probably doesn't work.  */
-
 typedef struct _PropertyAtom PropertyAtom;
 typedef struct _SelectInputData SelectInputData;
 typedef struct _SelectionOwnerInfo SelectionOwnerInfo;
@@ -808,8 +805,8 @@ SignalConversionPerformed (WriteTransfer *transfer)
 	 are still pending.  If there are no more pending conversions,
 	 send the SelectionNotify event and return.  */
 
-      DebugPrint ("Conversion complete; %d conversions are still pending\n",
-		  transfer->record->pending);
+      DebugPrint ("Conversion complete; %d conversion(s) are still pending\n",
+		  transfer->record->pending - 1);
 
       if (!(--transfer->record->pending))
 	{
@@ -1327,8 +1324,8 @@ ConvertSelectionMultiple (SelectionOwnerInfo *info, XEvent *event,
       transfer->last = &write_transfers;
       transfer->requestor = event->xselectionrequest.requestor;
       transfer->selection = event->xselectionrequest.selection;
-      transfer->target = event->xselectionrequest.target;
-      transfer->property = atoms[1];
+      transfer->target = atoms[i + 0];
+      transfer->property = atoms[i + 1];
       transfer->time = event->xselectionrequest.time;
       transfer->buffer = XLMalloc (quantum);
       transfer->size = quantum;
@@ -1425,7 +1422,10 @@ HandleSelectionRequest (XEvent *event)
 	 do anyway.  */
       || (event->xselectionrequest.time != CurrentTime
 	  && TimeIs (event->xselectionrequest.time, Earlier, info->time))
-      || !CanConvertTarget (info, event->xselectionrequest.target))
+      || (!CanConvertTarget (info, event->xselectionrequest.target)
+	  /* CanConvertTarget itself does not understand MULTIPLE,
+	     because it itself is called while handling MULTIPLE.  */
+	  && event->xselectionrequest.target != MULTIPLE))
     {
       DebugPrint ("Couldn't convert selection due to simple reason\n");
 
diff --git a/tests/Imakefile b/tests/Imakefile
index 432b74c..fb4ad0d 100644
--- a/tests/Imakefile
+++ b/tests/Imakefile
@@ -50,7 +50,9 @@ ScannerTarget(linux-dmabuf-unstable-v1)
          OBJS10 = $(COMMONSRCS) select_test.o
 	 SRCS11 = select_helper.c
 	 OBJS11 = select_helper.o
-       PROGRAMS = imgview simple_test damage_test transform_test viewporter_test subsurface_test scale_test seat_test dmabuf_test select_test select_helper
+	 SRCS12 = select_helper_multiple.c
+	 OBJS12 = select_helper_multiple.o
+       PROGRAMS = imgview simple_test damage_test transform_test viewporter_test subsurface_test scale_test seat_test dmabuf_test select_test select_helper select_helper_multiple
 
 /* Make all objects depend on HEADER.  */
 $(OBJS1): $(HEADER)
@@ -69,10 +71,11 @@ NormalProgramTarget(seat_test,$(OBJS8),NullParameter,$(LOCAL_LIBRARIES),NullPara
 NormalProgramTarget(dmabuf_test,$(OBJS9),NullParameter,$(LOCAL_LIBRARIES) $(GBM) $(DRM),NullParameter);
 NormalProgramTarget(select_test,$(OBJS10),NullParameter,$(LOCAL_LIBRARIES) ThreadsLibraries,NullParameter);
 NormalProgramTarget(select_helper,$(OBJS11),NullParameter,$(XLIB),NullParameter);
+NormalProgramTarget(select_helper_multiple,$(OBJS12),NullParameter,$(XLIB),NullParameter);
 DependTarget3($(SRCS1),$(SRCS2),$(SRCS3))
 DependTarget3($(SRCS4),$(SRCS5),$(SRCS6))
 DependTarget3($(SRCS7),$(SRCS8),$(SRCS9))
-DependTarget3($(SRCS10),$(SRCS11),NullParameter)
+DependTarget3($(SRCS10),$(SRCS11),$(SRCS12))
 
 all:: $(PROGRAMS)
 
diff --git a/tests/select_helper.c b/tests/select_helper.c
index a2cdf70..e5c5498 100644
--- a/tests/select_helper.c
+++ b/tests/select_helper.c
@@ -31,7 +31,6 @@ along with 12to11.  If not, see <https://www.gnu.org/licenses/>.  */
    There must be three arguments: the name of the display, the
    timestamp at which the selection was acquired, and the target.  */
 
-
 /* The display connected to.  */
 static Display *display;
 
@@ -130,7 +129,7 @@ main (int argc, char **argv)
 
   atom_names[0] = argv[3];
   atom_names[1] = (char *) "CLIPBOARD";
-  atom_names[2] = (char *) "CLIPBOARD";
+  atom_names[2] = (char *) "INCR";
   XInternAtoms (display, atom_names, 3, False, atoms);
   target_atom = atoms[0];
   CLIPBOARD = atoms[1];
diff --git a/tests/select_test.c b/tests/select_test.c
index 626c9b8..2dca648 100644
--- a/tests/select_test.c
+++ b/tests/select_test.c
@@ -246,6 +246,79 @@ verify_sample_text (Time time)
   close (pipefds[1]);
 }
 
+static void
+verify_sample_text_multiple (Time time)
+{
+  int pipefds[2], wstatus;
+  pid_t pid;
+  char *display_string;
+  char time_buffer[45], buffer[sizeof SAMPLE_TEXT];
+  ssize_t bytes_read;
+  const char *sample_text_buffer;
+
+  /* Run select_helper with the specified timestamp.  Wait until
+     handle_data_source_send is called, and then begin reading from
+     the pipe.  */
+
+  if (pipe (pipefds) < 0)
+    die ("pipe");
+
+  display_string = DisplayString (display->x_display);
+  time = sprintf (time_buffer, "%lu", time);
+  pid = fork ();
+
+  if (pid == -1)
+    die ("fork");
+  else if (!pid)
+    {
+      close (pipefds[0]);
+
+      if (!dup2 (pipefds[1], 1))
+	exit (1);
+
+      execlp ("./select_helper_multiple", "./select_helper",
+	      display_string, time_buffer, "STRING", "UTF8_STRING",
+	      NULL);
+      exit (1);
+    }
+
+  send_called = false;
+
+  while (!send_called)
+    {
+      if (wl_display_dispatch (display->display) == -1)
+        die ("wl_display_dispatch");
+    }
+
+  /* Now, start reading from the pipe and comparing the contents.  */
+  sample_text_buffer = SAMPLE_TEXT;
+  bytes_read = read (pipefds[0], buffer, sizeof SAMPLE_TEXT - 1);
+
+  if (bytes_read != sizeof SAMPLE_TEXT - 1)
+    report_test_failure ("wanted %zu bytes, but got %zd",
+			 sizeof SAMPLE_TEXT - 1, bytes_read);
+
+  /* Now compare the text.  */
+  if (memcmp (buffer, sample_text_buffer, bytes_read))
+    report_test_failure ("read text differs from sample text!");
+
+  /* Compare the text again for the second target.  */
+  bytes_read = read (pipefds[0], buffer, sizeof SAMPLE_TEXT - 1);
+
+  if (bytes_read != sizeof SAMPLE_TEXT - 1)
+    report_test_failure ("wanted %zu bytes, but got %zd",
+			 sizeof SAMPLE_TEXT - 1, bytes_read);
+
+  waitpid (pid, &wstatus, 0);
+
+  if (WEXITSTATUS (wstatus))
+    report_test_failure ("child exited with failure: %d",
+			 WEXITSTATUS (wstatus));
+
+  close (pipefds[0]);
+  close (pipefds[1]);
+}
+
 
 
 static void
@@ -271,7 +344,12 @@ test_single_step (enum test_kind kind)
       wl_display_roundtrip (display->display);
 
       /* Now, verify the selection contents.  */
+      test_log ("verifying sample text normally");
       verify_sample_text (time);
+
+      /* And verify the selection contents for MULTIPLE.  */
+      test_log ("verifying sample text via MULTIPLE");
+      verify_sample_text_multiple (time);
       break;
     }
 
diff --git a/tests/svnignore.txt b/tests/svnignore.txt
index 38fdf26..246cf29 100644
--- a/tests/svnignore.txt
+++ b/tests/svnignore.txt
@@ -11,6 +11,7 @@ seat_test
 dmabuf_test
 select_test
 select_helper
+select_helper_multiple
 imgview
 reject.dump
 Makefile