While international leaders have been focused on rising tensions between Lebanon's Hezbollah and Israel, the latter has sent tanks deeper into southern Gaza, forcing thousands to leave their homes.
Battles with Hamas fighters were heard raging in eastern Khan Younis, while medics said 15 Palestinians were killed by two Israeli strikes there.
Among them was a four-month-old girl, Maria Abu Ziada, killed in a tented area in the Mawasi district, they said - a humanitarian-designated area.
The Israeli military said it was checking the report, and has previously said its raid in the city was in response to renewed attacks.
Meanwhile, near the border with Egypt, Israeli forces advanced deeper into the northern parts Rafah.
To the north, Hamas' armed wing said it was fighting with Israeli forces in Gaza City.