HITC Sport understands that Sheffield Wednesday have been left empty-handed despite appearing to lead the race for the striker at one stage.
The 27-year-old had been due to fly into Sheffield this week to undergo a medical with the Owls.
Wednesday had fended off rival Championship interest from the likes of Bolton Wanderers and Queens Park Rangers and believed that they were in pole position to land the Piast Gliwice hot-shot.
However, complications arose over the contract and that allowed newly promoted Serie A side Carpi to nip in and steal him away to Italy.
Carpi agreed to meet all of Wilczek demands and the Polish Player of the Year completed a deal on Wednesday.
Wilczek was top scorer in Poland's top-flight, the Ekstraklasa, last season scoring over 20 goals for Piast Gliwice.
He was available on a Bosman free transfer and would have represented a sound investment for Wednesday on a sporting and financial level.
They will, however, now be forced to turn their attention elsewhere.