Lucia A. answered 03/29/19
Native Italian Speaker Teacher
Ciao!
We would say ''la coppia si abbraccia'' at the present and ''la coppia si è abbracciata'' at the past.
Collective substantives like ''la gente'' , ''la coppia'', ''la famiglia'' are grammatically singular, so all the words (verbs, adjectives, articles) related to them need to be singular as well.
I hope this was helpful!