dovetail

dove|tail /d'ʌvteɪl/ (dovetails dovetailing dovetailed)
[V-RECIP] pl-n V, V with n, V pl-n
If two things dovetail or if one thing dovetails with another, the two things fit together neatly or have some common characteristics.
I'm following up a few things that might dovetail.
...an attempt to look for areas where U.S. interests can dovetail with Japanese concerns...
It is important that we dovetail our respective interests...