diff --git a/doc/filters.texi b/doc/filters.texi
index bcb00e50b8..46d0a12501 100644
--- a/doc/filters.texi
+++ b/doc/filters.texi
@@ -5909,6 +5909,19 @@ on the main video. Default value is "0" for both expressions. In case
 the expression is invalid, it is set to a huge value (meaning that the
 overlay will not be displayed within the output visible area).
 
+@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
+
 @item eval
 Set when the expressions for @option{x}, and @option{y} are evaluated.
 
@@ -5990,6 +6003,7 @@ the position in the file of the input frame, NAN if unknown
 
 @item t
 timestamp expressed in seconds, NAN if the input timestamp is unknown
+
 @end table
 
 Note that the @var{n}, @var{pos}, @var{t} variables are available only
@@ -6085,6 +6099,14 @@ nullsrc=size=200x100 [background];
 "
 @end example
 
+@item
+mask 10-20 seconds of a video by applying the delogo filter to a section
+@example
+ffmpeg -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
+
 @item
 Chain several overlays in cascade:
 @example
diff --git a/libavfilter/vf_overlay.c b/libavfilter/vf_overlay.c
index 938033a77b..56b2484da2 100644
--- a/libavfilter/vf_overlay.c
+++ b/libavfilter/vf_overlay.c
@@ -69,6 +69,16 @@ 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
 
@@ -103,6 +113,9 @@ typedef struct {
 
     double var_values[VAR_VARS_NB];
     char *x_expr, *y_expr;
+
+    enum EOFAction eof_action;  ///< action to take on EOF from source
+
     AVExpr *x_pexpr, *y_pexpr;
 } OverlayContext;
 
@@ -309,11 +322,12 @@ static int config_input_overlay(AVFilterLink *inlink)
     }
 
     av_log(ctx, AV_LOG_VERBOSE,
-           "main w:%d h:%d fmt:%s overlay w:%d h:%d fmt:%s\n",
+           "main w:%d h:%d fmt:%s overlay 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),
            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]);
     return 0;
 }
 
@@ -581,6 +595,15 @@ static av_cold int init(AVFilterContext *ctx)
                "The rgb option is deprecated and is overriding the format option, use format instead\n");
         s->format = OVERLAY_FORMAT_RGB;
     }
+    if (!s->dinput.repeatlast || s->eof_action == EOF_ACTION_PASS) {
+        s->dinput.repeatlast = 0;
+        s->eof_action = EOF_ACTION_PASS;
+    }
+    if (s->dinput.shortest || s->eof_action == EOF_ACTION_ENDALL) {
+        s->dinput.shortest = 1;
+        s->eof_action = EOF_ACTION_ENDALL;
+    }
+
     s->dinput.process = do_blend;
     return 0;
 }
@@ -591,6 +614,12 @@ static av_cold int init(AVFilterContext *ctx)
 static const AVOption overlay_options[] = {
     { "x", "set the x expression", OFFSET(x_expr), AV_OPT_TYPE_STRING, {.str = "0"}, CHAR_MIN, CHAR_MAX, FLAGS },
     { "y", "set the y expression", OFFSET(y_expr), AV_OPT_TYPE_STRING, {.str = "0"}, CHAR_MIN, CHAR_MAX, 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" },
     { "eval", "specify when to evaluate expressions", OFFSET(eval_mode), AV_OPT_TYPE_INT, {.i64 = EVAL_MODE_FRAME}, 0, EVAL_MODE_NB-1, FLAGS, "eval" },
          { "init",  "eval expressions once during initialization", 0, AV_OPT_TYPE_CONST, {.i64=EVAL_MODE_INIT},  .flags = FLAGS, .unit = "eval" },
          { "frame", "eval expressions per-frame",                  0, AV_OPT_TYPE_CONST, {.i64=EVAL_MODE_FRAME}, .flags = FLAGS, .unit = "eval" },