If you glue basted with Elmer's glue, then you can simply spray the non-sticking area with a mist of water to reactivate the glue. Spray with enough water to make the glue sticky again, smooth, then leave overnight to dry or speed dry by ironing. Elmer's is just starch so it reactivates with moisture.
you can thread baste but I would think the dried glue will make it difficult to push the needle through.