Pictures published by Israeli media after his visit to Hadera, during which he was also briefed by the police on the attack, showed Bennett wearing a face mask.
But the prime minister did not have a face mask during a joint news conference with Blinken on Sunday.
The US top diplomat is in Israel to attend landmark talks with officials from the United Arab Emirates, Bahrain and Morocco countries that normalized ties with the Jewish state in 2020.
His Egyptian counterpart will also join the group who are meeting later Monday in the Negev desert.
The talks come amid rising regional concerns over a deal Washington could soon reach with Iran to restore the 2015 nuclear deal.
Israel and most Gulf Arab countries are sceptical of a revived deal with Tehran, which the Jewish state considers a threat to its existence.
The Negev meeting also takes place as the United States and European allies express quiet frustration that Middle East countries generally have not shown strong support for efforts to support Ukraine following Russia’s invasion or distanced themselves from Moscow.
On Sunday evening, after meeting Bennett, Blinken travelled to the Israeli-occupied West Bank for talks with Palestinian leader Mahmud Abbas.
