Meire was hired as Sheffield Wednesday's chief executive at the start of January.
Asked on Twitter if his side had been in touch with Wednesday, MacAnthony claimed Peterborough's director of football Barry Fry had spoken to the Owls' new chief executive Katrien Meire earlier this week.
It remains to be seen, however, which of the two clubs' players - if any - were discussed.
Yes Barry spoke to KM your new CEO yesterday i think it was. https://t.co/j44o9PVQtp— Darragh MacAnthony (@DMAC102) 31 January 2018
And the conversation appears to have been in vain, with no Peterborough or Sheffield Wednesday players exchanging sides ahead of the transfer deadline.
Wednesday experienced a quiet final day, with young Owls midfielder Matt Penney the only player to move in or out - the latter, in his case - of Hillsborough.
Peterborough's Wednesday was slightly more eventful, with striker Omar Bogle arriving on loan from Cardiff City and fringe pair Ricky Miller and Jordan Nicholson moved on.
Which Peterborough United / Sheffield Wednesday players should your club have signed in January?