diff --git a/doc/filters.texi b/doc/filters.texi
index f45134bda2..8c83b4e7a2 100644
--- a/doc/filters.texi
+++ b/doc/filters.texi
@@ -1728,6 +1728,20 @@ overlay input width and height
 
 @item w, h
 same as @var{overlay_w} and @var{overlay_h}
+
+@item eof_action
+The action to take when EOF is encountered on the secondary input, accepts one
+of the following values:
+
+@table @option
+@item repeat
+repeat the last frame (the default)
+@item endall
+end both streams
+@item pass
+pass through the main input
+@end table
+
 @end table
 
 Be aware that frames are taken from each input video in timestamp
@@ -1753,6 +1767,11 @@ avconv -i input -i logo1 -i logo2 -filter_complex
 # add a transparent color layer on top of the main video,
 # WxH specifies the size of the main input to the overlay filter
 color=red@.3:WxH [over]; [in][over] overlay [out]
+
+# mask 10-20 seconds of a video by applying the delogo filter to a section
+avconv -i test.avi -codec:v:0 wmv2 -ar 11025 -b:v 9000k
+-vf '[in]split[split_main][split_delogo];[split_delogo]trim=start=360:end=371,delogo=0:0:640:480[delogoed];[split_main][delogoed]overlay=eof_action=pass[out]'
+masked.avi
 @end example
 
 You can chain together more overlays but the efficiency of such
diff --git a/libavfilter/vf_overlay.c b/libavfilter/vf_overlay.c
index 5155573de6..b3591ebea1 100644
--- a/libavfilter/vf_overlay.c
+++ b/libavfilter/vf_overlay.c
@@ -60,6 +60,16 @@ enum var_name {
     VAR_VARS_NB
 };
 
+enum EOFAction {
+    EOF_ACTION_REPEAT,
+    EOF_ACTION_ENDALL,
+    EOF_ACTION_PASS
+};
+
+static const char *eof_action_str[] = {
+    "repeat", "endall", "pass"
+};
+
 #define MAIN    0
 #define OVERLAY 1
 
@@ -72,6 +82,8 @@ typedef struct {
 
     char *x_expr, *y_expr;
 
+    enum EOFAction eof_action;  ///< action to take on EOF from source
+
     AVFrame *main;
     AVFrame *over_prev, *over_next;
 } OverlayContext;
@@ -145,12 +157,13 @@ static int config_input_overlay(AVFilterLink *inlink)
     s->x = res;
 
     av_log(ctx, AV_LOG_VERBOSE,
-           "main w:%d h:%d fmt:%s overlay x:%d y:%d w:%d h:%d fmt:%s\n",
+           "main w:%d h:%d fmt:%s overlay x:%d y:%d w:%d h:%d fmt:%s eof_action:%s\n",
            ctx->inputs[MAIN]->w, ctx->inputs[MAIN]->h,
            av_get_pix_fmt_name(ctx->inputs[MAIN]->format),
            s->x, s->y,
            ctx->inputs[OVERLAY]->w, ctx->inputs[OVERLAY]->h,
-           av_get_pix_fmt_name(ctx->inputs[OVERLAY]->format));
+           av_get_pix_fmt_name(ctx->inputs[OVERLAY]->format),
+           eof_action_str[s->eof_action]);
 
     if (s->x < 0 || s->y < 0 ||
         s->x + var_values[VAR_OVERLAY_W] > var_values[VAR_MAIN_W] ||
@@ -291,8 +304,12 @@ static int output_frame(AVFilterContext *ctx)
 static int handle_overlay_eof(AVFilterContext *ctx)
 {
     OverlayContext *s = ctx->priv;
-    if (s->over_prev)
+    /* Repeat previous frame on secondary input */
+    if (s->over_prev && s->eof_action == EOF_ACTION_REPEAT)
         blend_frame(ctx, s->main, s->over_prev, s->x, s->y);
+    /* End both streams */
+    else if (s->eof_action == EOF_ACTION_ENDALL)
+        return AVERROR_EOF;
     return output_frame(ctx);
 }
 
@@ -311,8 +328,7 @@ static int request_frame(AVFilterLink *outlink)
             return ret;
     }
 
-    /* get a new frame on the overlay input, on EOF
-     * reuse previous */
+    /* get a new frame on the overlay input, on EOF check setting 'eof_action' */
     if (!s->over_next) {
         ret = ff_request_frame(ctx->inputs[OVERLAY]);
         if (ret == AVERROR_EOF)
@@ -354,6 +370,12 @@ static const AVOption options[] = {
         "main video.",          OFFSET(x_expr), AV_OPT_TYPE_STRING, { .str = "0" }, .flags = FLAGS },
     { "y", "Vertical position of the top edge of the overlaid video on the "
         "main video.",          OFFSET(y_expr), AV_OPT_TYPE_STRING, { .str = "0" }, .flags = FLAGS },
+    { "eof_action", "Action to take when encountering EOF from secondary input ",
+        OFFSET(eof_action), AV_OPT_TYPE_INT, { .i64 = EOF_ACTION_REPEAT },
+        EOF_ACTION_REPEAT, EOF_ACTION_PASS, .flags = FLAGS, "eof_action" },
+        { "repeat", "Repeat the previous frame.",   0, AV_OPT_TYPE_CONST, { .i64 = EOF_ACTION_REPEAT }, .flags = FLAGS, "eof_action" },
+        { "endall", "End both streams.",            0, AV_OPT_TYPE_CONST, { .i64 = EOF_ACTION_ENDALL }, .flags = FLAGS, "eof_action" },
+        { "pass",   "Pass through the main input.", 0, AV_OPT_TYPE_CONST, { .i64 = EOF_ACTION_PASS },   .flags = FLAGS, "eof_action" },
     { NULL },
 };