I used the 3M double sided adhesive tape to go around the edge of the new screen assembly.

NOTE: The replacement adhesive I used was 3M double sided adhesive tape (2mm) - the tape was around $10 from a mobile phone repair supplies store. The tape was too wide and not thick enough, so I doubled it over.

It fit perfectly once I did that. Unless you can find thicker double sided tape which is closer to the original adhesive, I would recommend this approach.