Sometimes you get to meet a person by happenstance at a far corner of the world, then immediately you felt to this person; and at times, it turns out that you have some kind of a kinship in between. In the same vein, towns reminding you of another one that you already have an acquaintance with should be town twinning relations, regardless of their culture and location.
Just to give some examples:
Florence-Amasya
New York-İstanbul
Athens-İstanbul
Nice-İzmir
Lucca (Italy)-Safranbolu
Beirut-Antalya
Malaga-Adana