It happens in roma (1955)

Airy comedy of a man a woman and the lengths they'll go to for a really great apartment! Located in the center of Rome with amazing views both want it and strike the compromise of marrying each other platonically to get it. The woman still hopes for true love and the man agrees to step aside should that special someone come along but he is secretly smitten with her and surreptitiously makes her various suitors look like fools. All goes well until he comes up against Rosanno Brazzi and finds him a tough challenge to overcome.