The chart below shows what happened next for four countries after they reported their peak of Covid-19 deaths per day.
The countries chosen are UK, Italy, Spain, and France. These countries all reached rolling 7 day average peaks of 800-950 deaths per day. Italy peaked first followed by Spain a week later, France another few days later, and the UK a couple of days after that.
Click on the chart to view it in full-size.
Looking at the 7 day trend lines for the most recent day for which we have data (June 11th, 62 days post peak for the UK), France and Spain had levelled off at around 50 deaths per day, Italy were still at 100 deaths per day, while the UK is still at 200 deaths per day and looking like its drop to 100 or 50 will take some time.