Albion will renew their efforts to sign Martin Brittain after the wideman was rejected by Hull City.
The former Newcastle reserve shone in a pre-season outing for the Seagulls at Worthing a fortnight ago and then went on trial at Hull.
Tigers boss Phil Parkinson has now decided not to offer him a deal.
Albion boss Mark McGhee said: "I've spoken to Phil Parkinson about how they found Martin and everything was very positive about that.
"They have decided not to sign him for all sorts of reasons which are their business but which I know of and satisfy me.
"We will be talking again to Martin and his representative."
A somewhat makeshift Albion line-up was given a thorough defensive work out in yesterday's 2-0 defeat at Le Havre.
Trialist midfielder Jacques Williams made the most of an 11-minute substitute appearance to produce some tidy contributions and may have proved himself worthy of keeping.
McGhee said: "When Jacques got on for his few minutes he made some good incisive passes, probably better passes than anyone made all night.
"He has shown us he has that sort of ability and we have to decide whether we can fit him into the team.
"I'll think about the trialists this weekend and we will go from there."
The Albion boss was delighted with the work put in by his squad in France and impressed by the opposition provided by Le Havre.
He said: "Their quality was different to League One. Their movement, their power, their strength and their athletic ability was excellent.
"The week has been terrific. The boys have worked very hard. They have applied themselves very well and we are a lot fitter than we were a week ago."
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