Zedd and Olivia Culpo are THIS close to setting off the "New Couple Alert" ... 'cause they sure looked like a couple of crazy kids very much into each other after getting all cozy at Coachella!!!
We're told the famous Russian-German DJ and the former Miss Universe were cuddling in the artist area during Ariana Grande's set at Coachella. Check out the vid ... it appears Zedd had his arms around Olivia as Grande performed "God is a woman."
Witnesses tell us they were together for the whole set.