The presidents of the University of Texas and Texas A&M University said yesterday their schools will remain in the Southwest Conference and "are committed to doing everything possible to strengthen the conference and make it successful."

With the announcement that Arkansas would leave the SWC for the Southeastern Conference, there had been speculation Texas and Texas A&M would follow the Razorbacks or join another conference.

In a joint statement, presidents William Cunningham of Texas and William Mobley of Texas A&M said problems do exist within the SWC that "require immediate attention and action."

Needed, they said, are: Improvement in fan support throughout the conference, flexibility in scheduling of men's and women's basketball and the addition of nonconference games in football, a more "competitive environment" for women's athletics and a firm commitment to developing first-class programs in men's and women's basketball. . . .

Atlantic Coast Conference and Florida State officials will meet in Tallahassee, Fla., Sept. 2-3 to discuss whether the school should become a league member, university president Bernard Sliger said.

Florida State officials want to decide about a future conference affiliation by Sept. 30, Sliger said. "We're acting as though we're going to get invitations from the ACC and the SEC," he said. "That may not happen. We may not get any, but we're proceeding as if we may get a bid from those two as well as the expanded Metro."

Florida State belongs to the Metro Conference in all sports but football, where the Seminoles have ranked among the nation's top three teams the last three seasons while playing an independent schedule.