diff --git a/lib/crono/period.rb b/lib/crono/period.rb
index 3c7a436..cc736f6 100644
--- a/lib/crono/period.rb
+++ b/lib/crono/period.rb
@@ -48,6 +48,7 @@ module Crono
     def initial_day
       return Time.now unless @on
       day = Time.now.beginning_of_week.advance(days: @on)
+      day = day.change(time_atts)
       return day if day.future?
       @period.from_now.beginning_of_week.advance(days: @on)
     end
diff --git a/spec/period_spec.rb b/spec/period_spec.rb
index 5ecf744..f9ec005 100644
--- a/spec/period_spec.rb
+++ b/spec/period_spec.rb
@@ -49,6 +49,16 @@ describe Crono::Period do
           expect(@period.next).to be_eql(tuesday)
         end
       end
+
+      it 'should return today on the first run if not too late' do
+        @period = Crono::Period.new(1.week, on: :sunday, at: '22:00')
+        Timecop.freeze(Time.now.beginning_of_week.advance(days: 6)
+                           .change(hour: 21, min: 0)) do
+          expect(@period.next).to be_eql(
+            Time.now.beginning_of_week.advance(days: 6).change(hour: 22, min: 0)
+          )
+        end
+      end
     end
 
     context 'in daily basis' do