Russian President Vladimir Putin was one of the last leaders to congratulate Biden on his election victory, sending his congratulatory message six weeks after the November 3 vote.
The Wednesday meeting will discuss "regional developments", Netanyahu's office said, and follows the Israeli leader's unveiling of "proof" of Iran's alleged past military nuclear ambitions.
Putin has always prided himself on respecting the constitution, which bars him from serving more than two presidential terms in a row.
The statement said Merkel, Macron and Putin had all welcomed the UN resolution on a ceasefire for at least 30 days "particularly to allow humanitarian aid into and evacuations out of the war zone".
The leaders of Russia, France and Germany agreed Sunday to speed up their "exchange of information" over Syria.
"We will not create problems for American diplomats. We will not expel anyone," Putin said in a statement.