The heavy exchanges of fire came despite an immediate Israel-Hezbollah ceasefire call from top EU diplomat Josep Borrell while on a visit to Lebanon Sunday.
The strikes followed Saturday's deadly attack on an eight-story residential building in Beirut's Basta Fawka neighborhood.
Hezbollah fired about 250 rockets and other projectiles into Israel on Sunday, wounding seven people in one of the militant group's heaviest barrages in months, in response to deadly Israeli strikes in Beirut while negotiators pressed on with cease-fire efforts to halt the all-out war.
One Lebanese army soldier was killed, and 18 others were wounded after Israel shelled a checkpoint in the Middle Eastern country.