Overdue tasks in a filtered task list

I am designing a screen where users can see their tasks that are due in a selected period of time. They might have tasks assigned in future as well and the UI lets them focus on a specific time period.

In such a case, how can I show the overdue tasks? My opinion is that all overdue should be shown always since overdue is basically due now but it conflicts with the user's date selection. Also, if the user goes to a date in the past, what overdue tasks should be shown.