The non-tournament middleweight matchup will serve as the opening bout on the televised card from the Monroe Civic Center.
Silva (5-3) fought twice for the UFC last September and this past January, losing both fights by unanimous decision against CB Dollaway and Chris Leben. Silva, who signed the contract Monday night with Bellator, will fulfill his previously scheduled fight on June 11 at Matrix Fights 2 in Philadelphia.
Albrecht (14-9), a submission fighter on a four-fight win streak, competed last year for Bellator, stopping Mike Messina in the second round.
Bellator 18 Fight Card:
Hector Lombard vs. Paulo Filho
Joe Warren vs. Georgi Karakhanyan
Patricio Pitbull vs. Wilson Reis
Jay Silva vs. Bill Albrecht
Jules Bruchez vs. Lamont Stafford
Douglas Williams vs. Shawn Jordan
Charlie Radar vs. Christian Fulgium
Brock Kerry vs. Mike Braswell