Vito, Thorn of the Dusk Rose

Each creature with lifelink dealing combat damage causes a separate life-gaining event. For example, if two creatures you control with lifelink deal combat damage at the same time, Vito's first ability will trigger twice and you may choose a different opponent for each trigger. However, if a single creature you control with lifelink deals combat damage to multiple creatures, players, and/or planeswalkers at the same time (perhaps because it has trample or was blocked by more than one creature), the ability will trigger only once.

If you gain an amount of life "for each" of something, that life is gained as one event and Vito's first ability triggers only once.

Because Vito's first ability doesn't deal damage, you won't gain life when it resolves if Vito has lifelink.