WASHINGTON—The bipartisan leadership of the Senate Intelligence Committee said Tuesday they are likely to call representatives from Facebook Inc. to Capitol Hill to publicly detail Russian activity on the company’s platform during the 2016 election.

In separate interviews with reporters, Sens. Richard Burr (R., N.C.) and Mark Warner (D., Va.) said they are in discussions with each other and other committee chairs in Congress about holding a public hearing with representatives from Facebook and other social-media companies...