US special envoy Amos Hochstein told Israel that there had been Israeli violations of the ceasefire agreement in Lebanon, state broadcaster KAN reported on Monday.
The report came as Lebanon's health ministry said that one individual had been killed in an airstrike on Marjayoun, near Lebanon's southern border with Israel.
Earlier on Monday, Foreign Minister Gideon Sa'ar told his French counterpart Jean-Noël Barrot in a phone call that Hezbollah terrorists who are currently south of the Litani River are violating the ceasefire agreement with Lebanon and must move northward.
Sa'ar also reportedly told Barrot that Israel was not breaching the ceasefire but was enforcing it in light of Hezbollah's violations of it.
On Sunday, it was reported that France had claimed that Israel had breached the ceasefire with Lebanon, with some 52 violations being counted on that day.
Israel's ceasefire agreement with Lebanon
Last week, a ceasefire between Israel and Lebanon came into effect.
The agreement includes a 60-day period during which Israeli forces will withdraw from southern Lebanon, where the Lebanese military would be deployed, with Hezbollah moving north of the Litani River.
Reuters and Raquel Guertzenstein Frohlich contributed to this report.