Hearts looked to have won the race to sign Alan Forrest.
Premiership rivals Dundee United were hopeful of a deal for the out of contract Livingston star, but the Jambos are believed to have made an improved bid to land the winger.
Robbie Neilson is currently looking to add recruits to his squad as the Tynecastle side gear up for a crack at European group stage football next season.
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Hearts will have to juggle domestic matters on top with Neilson already expressing his desire to add more squad depth during the summer window.
And the Daily Record report that the Jambos have upped their offer to get Forrest over the line.
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Hearts also want to bring in striker Lawrence Shankland but it all depends on Beerschot’s asking price, which is likely to be around £500,000.
Central Coast Mariners defender Kye Rowles is another name the capital club are keen on.
Peter Haring is also weighing up his future with Hearts waiting to hear back on his next step.