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However, the former England schoolboy - who netted in Boston's 4-0 thrashing of the Magpies last season - was keen for a fresh challenge away from York Street.
And the nippy Sheffield-born player has interested not only Thordarson, but also a number of other League Two clubs, including Grimsby Town.
Icelandic Thordarson is keen to bolster his midfield options further ahead of the new season despite the capture of former Sheffield Wednesday man Lewis McMahon, with both Paul Bolland and Stefan Oakes leaving Meadow Lane over the summer.
For all the transfer news and gossip, check back to NCM throughout the summer.