Goal understands that the Spain international centre-back has been a target for the club although they are reluctant to pay more than £35 million and have thus far been knocked back in attempts to include him in any deal involving David de Gea.
Despite the speculation over his future at the club, new boss Rafael Benitez has opted to take Ramos on Madrid's tour of Australia, where the club will play two International Champions Cup pre-season fixtures against Roma and Manchester City.
Other notable inclusions in the squad include summer signing from Porto Danilo, while teenage sensation Martin Odegaard is given an opportunity to impress, having made his first-team debut for the club on the final day of last season.
Cristiano Ronaldo, meanwhile, is missing from the list although Goal understands that the Portuguese will join up with his team-mates on Monday.
James Rodriguez is absent from the party, likely as a result of his Copa America exertions for Colombia earlier this summer.
Goalkeepers: Keylor Navas, Fernando Pacheco, Ruben Yanez
Defenders: Raphael Varane, Pepe, Sergio Ramos, Nacho, Marcelo, Dani Carvajal, Alvaro Arbeloa, Danilo
Midfielders: Toni Kroos, Gareth Bale, Lucas Silva, Luka Modric, Denis Cheryshev, Isco, Asier Illarramendi, Marcos Llorente, Martin Odegaard, Jose Carlos Lazo
Forwards: Karim Benzema, Lucas Vazquez, Jese