DuVall, a Democrat, sent his qualifying papers by mail, according to Rickey Cole, state party director.
DuVall was defeated last year for re-election to the Mississippi House to represent District 19.
He is the only Democrat so far to show public interest in trying to retake the 1st District U.S. House seat from the Republican Party, which defeated incumbent Rep. Travis Childers, D-Booneville, in 2010.
Rep. Alan Nunnelee, R-Tupelo, recently qualified to seek re-election as a Republican, along with Southaven businessman Robert Estes.
Ross, who lost to Nunnelee in the 2010 Republican primary, filed qualifying papers with the state party Monday.
Democrat Dr. Roger Weiner, a Clarksdale cardiologist, and Republican E. Allen Hatchcock of Webster County also filed papers to oppose incumbent U.S. Sen. Roger Wicker, R-Tupelo.
Friday is the deadline to file to run in the March party primaries or as an independent in November.