diff --git a/src/parallel b/src/parallel
index 698fe9ff..4adcceb9 100755
--- a/src/parallel
+++ b/src/parallel
@@ -720,6 +720,7 @@ sub open_or_exit {
     #   exits if file cannot be opened
     my $file = shift;
     if($file eq "-") {
+	$Global::stdin_in_opt_a = 1;
 	return ($Global::original_stdin || *STDIN);
     }
     if(ref $file eq "GLOB") {
@@ -3016,7 +3017,7 @@ sub start {
 	$pid = ::open3($in, ">&OUT", ">&ERR", $command) ||
 	    ::die_bug("open3-pipe");
 	$job->set_stdin($in);
-    } elsif(@::opt_a and $job->seq() == 1) {
+    } elsif(@::opt_a and not $Global::stdin_in_opt_a and $job->seq() == 1) {
 	# Give STDIN to the first job if using -a
 	*IN = *STDIN;
 	$pid = ::open3("<&IN", ">&OUT", ">&ERR", $command) ||
diff --git a/src/parallel.pod b/src/parallel.pod
index 5e8ffc58..678d392d 100644
--- a/src/parallel.pod
+++ b/src/parallel.pod
@@ -191,6 +191,8 @@ B<:::> and B<::::> can be mixed. So these are equivalent:
   parallel echo {1} {2} {3} :::: <(seq 6 7) <(seq 4 5) :::: <(seq 1 3)
   parallel -a <(seq 6 7) echo {1} {2} {3} :::: <(seq 4 5) :::: <(seq 1 3)
   parallel -a <(seq 6 7) -a <(seq 4 5) echo {1} {2} {3} ::: 1 2 3
+  seq 6 7 | parallel -a - -a <(seq 4 5) echo {1} {2} {3} ::: 1 2 3
+  seq 4 5 | parallel echo {1} {2} {3} :::: <(seq 6 7) - ::: 1 2 3
 
 =item B<::::> I<argfiles>
 
diff --git a/testsuite/tests-to-run/test58.sh b/testsuite/tests-to-run/test58.sh
new file mode 100644
index 00000000..705f8240
--- /dev/null
+++ b/testsuite/tests-to-run/test58.sh
@@ -0,0 +1,20 @@
+#!/bin/bash
+
+echo '### Test :::: mixed with :::'
+echo '### Test :::: < ::: :::'
+parallel -k echo {1} {2} {3} :::: <(seq 6 7) ::: 4 5 ::: 1 2 3
+
+echo '### Test :::: <  < :::: <'
+parallel -k echo {1} {2} {3} :::: <(seq 6 7) <(seq 4 5) :::: <(seq 1 3)
+
+echo '### Test -a ::::  < :::: <'
+parallel -k -a <(seq 6 7) echo {1} {2} {3} :::: <(seq 4 5) :::: <(seq 1 3)
+
+echo '### Test -a -a :::'
+parallel -k -a <(seq 6 7) -a <(seq 4 5) echo {1} {2} {3} ::: 1 2 3
+
+echo '### Test -a - -a :::'
+seq 6 7 | parallel -k -a - -a <(seq 4 5) echo {1} {2} {3} ::: 1 2 3
+
+echo '### Test :::: < - :::'
+seq 4 5 | parallel -k echo {1} {2} {3} :::: <(seq 6 7) - ::: 1 2 3
diff --git a/testsuite/wanted-results/test58 b/testsuite/wanted-results/test58
new file mode 100644
index 00000000..d233a800
--- /dev/null
+++ b/testsuite/wanted-results/test58
@@ -0,0 +1,79 @@
+### Test :::: mixed with :::
+### Test :::: < ::: :::
+6 4 1
+6 4 2
+6 4 3
+6 5 1
+6 5 2
+6 5 3
+7 4 1
+7 4 2
+7 4 3
+7 5 1
+7 5 2
+7 5 3
+### Test :::: <  < :::: <
+6 4 1
+6 4 2
+6 4 3
+6 5 1
+6 5 2
+6 5 3
+7 4 1
+7 4 2
+7 4 3
+7 5 1
+7 5 2
+7 5 3
+### Test -a ::::  < :::: <
+6 4 1
+6 4 2
+6 4 3
+6 5 1
+6 5 2
+6 5 3
+7 4 1
+7 4 2
+7 4 3
+7 5 1
+7 5 2
+7 5 3
+### Test -a -a :::
+6 4 1
+6 4 2
+6 4 3
+6 5 1
+6 5 2
+6 5 3
+7 4 1
+7 4 2
+7 4 3
+7 5 1
+7 5 2
+7 5 3
+### Test -a - -a :::
+6 4 1
+6 4 2
+6 4 3
+6 5 1
+6 5 2
+6 5 3
+7 4 1
+7 4 2
+7 4 3
+7 5 1
+7 5 2
+7 5 3
+### Test :::: < - :::
+6 4 1
+6 4 2
+6 4 3
+6 5 1
+6 5 2
+6 5 3
+7 4 1
+7 4 2
+7 4 3
+7 5 1
+7 5 2
+7 5 3