Disasi, 27, is expected to leave Chelsea this summer after a loan spell at Aston Villa did not go as planned.
According to insider information, Villarreal is one of several clubs that have expressed interest in Disasi, a player who is no longer a priority for Chelsea.
Following the sale of Álex Baena to Atletico Madrid and the upcoming departure of Thierno Barry to Everton, Villarreal is looking to invest its funds in new players.
Chelsea is reportedly asking for £25 million for Disasi, a fee that may attract other clubs, including Newcastle United and teams from Serie A.