A live webcast showed the team disembarking from their flight at Ben Gurion airport, near Tel Aviv, and boarding a team bus on the tarmac, without speaking to cameramen.
The two South American giants will face off on Monday evening in a match expected to pit Messi against his Barcelona strike partner Luis Suarez. Uruguay arrived in Israel on Saturday.
The match follows the cancellation of a pre-World Cup friendly fixture between Argentina and Israel in June 2018 after boycott calls.
That planned match was due to be played in Jerusalem, sparking Palestinian anger and criticism of Argentina online.
Israel considers Jerusalem its "indivisible" capital, while Palestinians claim the eastern part of the city - taken by Israel from Jordan in 1967 and later annexed - as the capital of their future state.
The BDS movement, which calls for a boycott of Israel over its policies towards Palestinians, condemned the fixture.