Balogh was previously with Hungarian side MATAV-Sopron
Hearts are hoping to sign Hungary goalkeeper Janos Balogh on a six-month loan deal.
The 25-year-old is currently with Debrecen in Hungary.
But new Hearts manager Csaba Laszlo is keen to strengthen the goalkeeping department and allow Stevie Banks more time to concentrate on his coaching.
Laszlo told Hearts' website: "It is not easy to find a keeper, but I want to do so as soon as possible. We hope to make a decision in two or three days."
The Hearts coach said he had "a few names" in mind from which to make a choice.
Steve has one leg in the coaching staff and one leg in the playing side. He must know what his job is
Hearts manager Csaba Laszlo
But one of those is Balogh, who was with MATAV-Sopron before joining Debrecen and who is presently spending a couple of days in Edinburgh.
"The position is not a big problem for us as we have Steve Banks and two very good young keepers, but they are perhaps not ready yet," said Laszlo.
"Steve has one leg in the coaching staff and one leg in the playing side. He must know what his job is."
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