Albion are interested in making Keiren Westwood their new No. 1.
But the Republic of Ireland international would have to accept a big drop in wages for the Seagulls to land him.
They have also enquired about taking Stoke keeper Jack Butland on a season-long loan.
New boss Sami Hyypia needs a replacement for Tomasz Kuszczak, who was released at the end of last season.
Westwood is one of the top candidates identified by the Seagulls’ scouting team, The Argus understands.
The 29-year-old is a free agent after becoming surplus to requirements for former Albion boss Gus Poyet at Sunderland.
Westwood joined the Black Cats from Coventry three years ago on a £30,000-a-week contract.
Simon Mignolet’s move to Liverpool meant Westwood started last season as first choice at the Stadium of Light under Paolo Di Canio.
He suffered a season-ending shoulder injury in November and Vito Mannone established himself as No. 1 under Poyet in his absence.
Poyet let the former Carlisle shot-stopper go at the end of last season after just 24 appearances for the North-East giants, the first of them against Albion at the Amex in the League Cup in August 2011.
Manchester-born Westwood has been linked with a return to City, his schoolboy club, as cover for Joe Hart following Costel Pantilimon’s switch to Sunderland.
England under-21 keeper Butland has already been loaned out to former club Birmingham, Barnsley and Leeds during his time at Stoke, as they have Asmir Begovic as No. 1 with the experienced Thomas Sorensen for cover.
Europa League champions Sevilla are also reportedly interested in borrowing Butland.
Meanwhile, Leyton Orient winger Moses Odubajo, who was on Albion’s radar, has completed a £1 million move to Championship newcomers Brentford.