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You can easily track your variables within a period of time right before the event frame starts by using the "Advanced Event Frames Settings.." available in the PI Analysis Event Frame Generation type.
However I am afraid you won't find a direct feature to have the same for the a period after the event closes.
Please refer to this document for more information about how to configure the Event Frames.
Getting data after the event frame has closed usually involves recapturing the values.
My recent blog contains a PowerShell script and details of how to do this.
You can setup an attribute with a positive RelativeTime using TimeRangeOverride for averages and values.
On the event close this will either give the current values or No Data - but when the Event Frame is re-capture afterwards, it will capture for the time relative to the Event Frame end time - even when that is in the future relative to the Event Frame.