Betting was suspended on Monday afternoon on the France international moving to Old Trafford with several reports suggesting a deal was very close to being agreed.
Manchester United are keen to bolster their midfield options with both Schneiderlin and Bastian Schweinsteiger linked with a move to Old Trafford.
Sky sources revealed last week that Manchester United were interested in Schneiderlin but the latest developments on Tuesday suggest that the French international’s future remains unclear with Sky sources revealing there had been no further bids or contact between the two clubs about the player since the first bid was made on June 20.
United’s first bid of under £25m was rejected because “it did not meet Southampton’s valuation”.
Schneiderlin joined the Saints from Strasbourg in 2008 and has been an integral player in guiding the team from League One to the Premier League.
Newspaper reports have also linked Bayern Munich midfielder Schweinsteiger with a Louis van Gaal reunion but yesterday the Germany international hinted at staying with the Bundesliga champions.