diff --git a/tests/Makefile.am.inc b/tests/Makefile.am.inc
index 45612fd665..1c7485d92a 100644
--- a/tests/Makefile.am.inc
+++ b/tests/Makefile.am.inc
@@ -143,6 +143,10 @@ tests_test_authenticator_CFLAGS = $(AM_CFLAGS) $(BASE_CFLAGS) \
 tests_test_authenticator_LDADD = $(AM_LDADD) $(BASE_LIBS) libflatpak-common.la libflatpak-common-base.la libglnx.la
 tests_test_authenticator_SOURCES = tests/test-authenticator.c
 
+tests_try_syscall_CFLAGS = $(AM_CFLAGS)
+tests_try_syscall_LDADD = $(AM_LDADD)
+tests_try_syscall_SOURCES = tests/try-syscall.c
+
 tests_list_unused_CFLAGS = $(AM_CFLAGS) $(BASE_CFLAGS) $(OSTREE_CFLAGS) $(SOUP_CFLAGS) $(JSON_CFLAGS) $(APPSTREAM_GLIB_CFLAGS) \
 	-DFLATPAK_COMPILATION \
 	-DLOCALEDIR=\"$(localedir)\"
@@ -317,6 +321,7 @@ test_extra_programs = \
 	tests/test-authenticator \
 	tests/test-portal-impl \
 	tests/test-update-portal \
+	tests/try-syscall \
 	$(NULL)
 
 @VALGRIND_CHECK_RULES@
diff --git a/tests/try-syscall.c b/tests/try-syscall.c
new file mode 100644
index 0000000000..84a0ca6673
--- /dev/null
+++ b/tests/try-syscall.c
@@ -0,0 +1,173 @@
+/*
+ * Copyright 2021 Simon McVittie
+ * SPDX-License-Identifier: LGPL-2.0-or-later
+ *
+ * Try one or more system calls that might have been blocked by a
+ * seccomp filter. Return the last value of errno seen.
+ *
+ * In general, we pass a bad fd or pointer to each syscall that will
+ * accept one, so that it will fail with EBADF or EFAULT without side-effects.
+ */
+
+#include <errno.h>
+#include <stdio.h>
+#include <string.h>
+#include <unistd.h>
+#include <sys/ioctl.h>
+#include <sys/prctl.h>
+#include <sys/socket.h>
+#include <sys/syscall.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#if defined(_MIPS_SIM)
+# if _MIPS_SIM == _MIPS_SIM_ABI32
+#   define MISSING_SYSCALL_BASE 4000
+# elif _MIPS_SIM == _MIPS_SIM_ABI64
+#   define MISSING_SYSCALL_BASE 5000
+# elif _MIPS_SIM == _MIPS_SIM_NABI32
+#   define MISSING_SYSCALL_BASE 6000
+# else
+#   error "Unknown MIPS ABI"
+# endif
+#endif
+
+#if defined(__ia64__)
+# define MISSING_SYSCALL_BASE 1024
+#endif
+
+#if defined(__alpha__)
+# define MISSING_SYSCALL_BASE 110
+#endif
+
+#if defined(__x86_64__) && defined(__ILP32__)
+# define MISSING_SYSCALL_BASE 0x40000000
+#endif
+
+/*
+ * MISSING_SYSCALL_BASE:
+ *
+ * Number to add to the syscall numbers of recently-added syscalls
+ * to get the appropriate syscall for the current ABI.
+ */
+#ifndef MISSING_SYSCALL_BASE
+# define MISSING_SYSCALL_BASE 0
+#endif
+
+#ifndef __NR_clone3
+# define __NR_clone3 (MISSING_SYSCALL_BASE + 435)
+#endif
+
+/*
+ * The size of clone3's parameter (as of 2021)
+ */
+#define SIZEOF_STRUCT_CLONE_ARGS ((size_t) 88)
+
+/*
+ * An invalid pointer that will cause syscalls to fail with EFAULT
+ */
+#define WRONG_POINTER ((char *) 1)
+
+int
+main (int argc, char **argv)
+{
+  int errsv = 0;
+  int i;
+
+  for (i = 1; i < argc; i++)
+    {
+      const char *arg = argv[i];
+
+      if (strcmp (arg, "print-errno-values") == 0)
+        {
+          printf ("EBADF=%d\n", EBADF);
+          printf ("EFAULT=%d\n", EFAULT);
+          printf ("ENOENT=%d\n", ENOENT);
+          printf ("ENOSYS=%d\n", ENOSYS);
+          printf ("EPERM=%d\n", EPERM);
+        }
+      else if (strcmp (arg, "chmod") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EFAULT */
+          if (chmod (WRONG_POINTER, 0700) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+      else if (strcmp (arg, "chroot") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EFAULT */
+          if (chroot (WRONG_POINTER) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+      else if (strcmp (arg, "clone3") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EFAULT */
+          if (syscall (__NR_clone3, WRONG_POINTER, SIZEOF_STRUCT_CLONE_ARGS) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+      else if (strcmp (arg, "ioctl TIOCNOTTY") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EBADF */
+          if (ioctl (-1, TIOCNOTTY) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+      else if (strcmp (arg, "ioctl TIOCSTI") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EBADF */
+          if (ioctl (-1, TIOCSTI, WRONG_POINTER) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+#ifdef __LP64__
+      else if (strcmp (arg, "ioctl TIOCSTI CVE-2019-10063") == 0)
+        {
+          unsigned long not_TIOCSTI = (0x123UL << 32) | (unsigned long) TIOCSTI;
+
+          /* If not blocked by seccomp, this will fail with EBADF */
+          if (syscall (__NR_ioctl, -1, not_TIOCSTI, WRONG_POINTER) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+#endif
+     else if (strcmp (arg, "listen") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EBADF */
+          if (listen (-1, 42) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+     else if (strcmp (arg, "prctl") == 0)
+        {
+          /* If not blocked by seccomp, this will fail with EFAULT */
+          if (prctl (PR_GET_CHILD_SUBREAPER, WRONG_POINTER, 0, 0, 0) != 0)
+            {
+              errsv = errno;
+              perror (arg);
+            }
+        }
+      else
+        {
+          fprintf (stderr, "Unsupported syscall \"%s\"\n", arg);
+          errsv = ENOENT;
+        }
+   }
+
+  return errsv;
+}