OK, so I’m afraid that if you set up a number of events with a different events plugin and then deactivate that plugin you normally will not be able to access them (unless you reactivate time.ly of course).
The Events Calendar stores events in a different format and is, in a sense, blind to time.ly format events that might exist in the database.
With that said, we do ship a CSV importer so if you can in turn export your time.ly event date in CSV format (or some other format – and convert it to CSV using a spreadsheet application or similar) you could move things across that way.
Does that help?