Welbeck, 29, is a free agent after he terminated his contract with Championship outfit Watford and is keen to kick-start his Premier League career after a frustrating spell with injuries with the Hornets.
Brighton are looking to add an experienced striker following the departure of Glenn Murray and also to ease the workload of Neal Maupay and Aaron Connolly.
Welbeck's injuries will be cause for concern for the Seagulls but a free transfer for an experienced Premier League striker with 42 England caps to his name could well be a risk worth taking.
Scroll down and click through to see the latest odds on Danny Welbeck's next permanent club, according to Sky Bet.