As well as the Israeli military's pictures of tanks, some images online appeared to show Israeli soldiers waving an Israeli flag deep inside Gaza.
Hamas said it was firing mortars against Israeli forces in north Gaza and had hit Israeli tanks with missiles, belittling reports of deep advances by its enemy.
Medical authorities in the Gaza Strip, which has a population of 2.3 million people, said on Sunday 8,005 people - including 3,324 minors - had been killed.
They later said their fighters had clashed with Israeli forces northwest of Gaza and had also set fire to two Israeli tanks.
Israel has accused Hamas of locating command centres and other military infrastructure in Gaza hospitals, something the group denies.
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