Paul Clement says Swansea have "multiple targets" as they plan to use the Gylfi Sigurdsson transfer fee by signing two or three players.
Sigurdsson finally completed his protracted move to Everton on Wednesday night, with Swansea understood to have received a club-record fee around the £45million mark.
Clement wants to strengthen his squad before the transfer window closes on August 31.
Former players Wilfried Bony and Joe Allen have both been linked with Swansea returns, while West Brom forward Nacer Chadli and Hull midfielder Sam Clucas are also understood to be on the club's radar.