03/06/2011 AT 8:35 PM ET
Johansson, 26, who spent the day with the actor in Cabo San Lucas last Tuesday, was spotted later in the week at the Los Angles production office of We Bought a Zoo, in which she stars with Matt Damon.
The film, written and directed by Jerry Maguire’s Cameron Crowe, is expected to come out at the end of the year.
Penn, 50, meanwhile, was in Venezuela as late as Friday, Minister of Information Andres Izarra Tweeted in Spanish. Penn has been criticized in the past for his close relationship to Venezuela’s President Hugo Chavez.