Steven Gerrard could play against ex-Liverpool team-mate Luis Suarez when LA Galaxy meet Barcelona in the International Champions Cup in July.
The clubs meet at the Rose Bowl on 21 July after Gerrard moves to the MLS side when his Anfield contract expires.
Suarez's availability depends on his involvement with Uruguay in the Copa America, which ends on 4 July.
Manchester United boss Louis van Gaal and Chelsea's Jose Mourinho also face their former club Barcelona.
The schedule, confirmed on the tournament's official website on Tuesday, will see United open against Mexico City-based Club America on 17 July at Seattle's CenturyLink Field, before taking on San Jose Earthquakes on 21 July, at a venue to be confirmed.
Van Gaal had two stints as manager at Barcelona and United face the Spanish giants at Santa Clara's Levi's Stadium on 25 July.
United, who beat Liverpool in last year's final, end their involvement in the pre-season tournament in Chicago against Paris St-Germain on 29 July.
Chelsea play MLS side New York Red Bulls in New Jersey on 22 July, then face PSG in Charlotte, North Carolina on 25 July.
Mourinho, who was a coach under Van Gaal at Barcelona, faces the La Liga leaders in Washington DC on 28 July before the Blues' final match in the tournament against Fiorentina at Stamford Bridge on 5 August - three days before the Premier League season begins.
Apart from the 10-team US-based tournament, which also includes Porto, the International Champions Cup is also staging games in Australia, where Manchester City will play Real Madrid, and China, with AC Milan set to play city rivals Inter.