diff --git a/man/remind.1 b/man/remind.1
index 4ef99faa..16b2cab5 100644
--- a/man/remind.1
+++ b/man/remind.1
@@ -3132,12 +3132,12 @@ is an implementation artifact.
 .B SELF-OVERLAPPING EVENTS
 .PP
 A multi-day event has the possibility of "overlapping itself".  When this
-happens, \fBRemind\fR prefers the \fIearlier\fR event (only one copy of
+happens, \fBRemind\fR prefers the \fIlater\fR event (only one copy of
 an event is ever triggered for a given date.)  Consider this example:
 .PP
 .nf
    #!/bin/sh
-   remind - '*4' 11 Feb 1991 <<'EOF'
+   remind - '*5' 10 Feb 1991 <<'EOF'
 
    BANNER %
    REM MON at 0:00 DURATION 192:0 MSG [today()] [trigeventstart()] [trigduration()]%
@@ -3148,17 +3148,16 @@ an event is ever triggered for a given date.)  Consider this example:
 The output is:
 .PP
 .nf
-   1991-02-11 1991-02-04@00:00 24:00
+   1991-02-10 1991-02-04@00:00 48:00
+   1991-02-11 1991-02-11@00:00 192:00
    1991-02-12 1991-02-11@00:00 168:00
    1991-02-13 1991-02-11@00:00 144:00
    1991-02-14 1991-02-11@00:00 120:00
 .fi
 .PP
-Although 1991-02-11 is a Monday (which should cause the event to be
-triggered, the 8-day-long event that started on 1991-02-04 \fIhas not
-finished yet\fR, so that is the one that is triggered.  The next day,
-the event starting on 1991-02-04 \fIhas\fR finished, so the 1991-02-11
-event triggers, with a remaining duration of 168:00, or 7 days.
+Although the event from 1991-02-04 still has 24 hours left on 1991-02-11,
+the fresh occurrence on 1991-02-11 takes precedences and is the one that
+is triggered.
 .PP
 I do not recommend constructing self-overlapping multi-day events.
 .PP
diff --git a/src/dorem.c b/src/dorem.c
index 545658d2..cf648194 100644
--- a/src/dorem.c
+++ b/src/dorem.c
@@ -1111,6 +1111,18 @@ int DoSatRemind(Trigger *trig, TimeTrig *tt, ParsePtr p)
 	    if (r) {
 		if (r == E_CANT_TRIG) return OK; else return r;
 	    }
+	} else if (jul == start) {
+	    if (tt->ttime != NO_TIME) {
+		trig->eventstart = MINUTES_PER_DAY * r + tt->ttime;
+		if (tt->duration != NO_TIME) {
+		    trig->eventduration = tt->duration;
+		}
+	    }
+	    LastTriggerTime = tt->ttime;
+	    SaveLastTimeTrig(tt);
+	    SaveLastTrigger(trig);
+	    LastTriggerDate = r;
+	    LastTrigValid = 1;
 	}
 	if (jul == -1) {
 	    return E_EXPIRED;
diff --git a/src/trigger.c b/src/trigger.c
index 8ff311fc..a665cdf5 100644
--- a/src/trigger.c
+++ b/src/trigger.c
@@ -479,6 +479,19 @@ int ComputeTrigger(int today, Trigger *trig, TimeTrig *tim,
 	return r;
     }
     if (r == today) {
+	if (tim->ttime != NO_TIME) {
+	    trig->eventstart = MINUTES_PER_DAY * r + tim->ttime;
+	    if (tim->duration != NO_TIME) {
+		trig->eventduration = tim->duration;
+	    }
+	}
+	if (save_in_globals) {
+	    LastTriggerTime = tim->ttime;
+	    SaveLastTimeTrig(tim);
+	    SaveLastTrigger(trig);
+	    LastTriggerDate = r;
+	    LastTrigValid = 1;
+	}
 	return r;
     }