Organizers are planning a Liverpool FC-AS Roma exhibition soccer game at Fenway Park this summer, according to multiple sources involved with the negotiations.

The match would be part of US tours for both teams, the first since controlling interest in the clubs was purchased by Boston-based investors. Liverpool, founded in 1891, was purchased in 2010 by Fenway Sports Group, headed by Red Sox owner John Henry (NBA star LeBron James is also an investor). AS Roma, founded in 1927, was taken over last year by a group which includes Red Sox minority owner Thomas DiBenedetto and Celtics owner James Pallotta.

The game would be part of a tournament involving Chelsea FC and, possibly, Celtic FC. Matches will also be held in Chicago (Comiskey Park or Wrigley Field) and New York (Yankee Stadium.

Dates have not been set. Liverpool has tentatively made reservations to be in the Boston area from June 20 through July 4.