Hezbollah began launching rockets from hilltops and villages in southern Lebanon at Israel on Oct. 8 in support of its Palestinian ally Hamas.
Foreign ministers and top envoys from various Western countries have visited Lebanon in recent weeks to urge a diplomatic resolution to the fighting in the south.
The Hezbollah leader addressed Israelis evacuated from northern Israel, saying that if they want to return home they should demand the war in Gaza end.
The strike, part of a flare-up of border area hostilities between Israeli and Hezbollah forces, hit a home in south Lebanon, where Hezbollah enjoys widespread support.
If Hamas were about to be destroyed, Nasrallah might feel that Hezbollah could be the next target, and move to launch a full-scale pre-emptive attack on Israel.
Following the October 7 Hamas attacks, residents along Israel's northern border grow increasingly anxious over the possibility of a similar assault by Hezbollah.
The Israeli military did not immediately provide comment on reports that multiple people had been killed or specify the location of the strike.
The call comes amid the Al Ahli Hospital explosion in Gaza, which IDF intel showed was caused by a Palestinian Islamic Jihad rocket misfire.
IDF chief Aharon Haliva stated that Israel will maintain quiet on the border, despite Hezbollah's attempts to force a conflict.
Hezbollah and Iran may be looking for a window of opportunity to act against Israel.