The Red Devils will make a concerted effort to bring the Chile midfielder Old Trafford as Juventus demand €50m, while an approach for Ajax's Daley Blind is also on the cards
The Premier League side has been monitoring Vidal all summer but has been put off by the Turin club's strong, public stance that the Chilean would not be sold.
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Louis van Gaal had been willing to wait until January to make a move for Roma's Kevin Strootman if United could not land his top targets this summer.
But there is growing confidence at Old Trafford that a big-money offer will smooth Vidal's exit without vilifying either player or club in the eyes of supporters.
Juventus is holding out for 50 million euros, and United is eager to get a deal done as it looks to strengthen the squad at Van Gaal's disposal following the British transfer record arrival of Angel Di Maria.
The Argentine sealed an €84m move from Real Madrid on Tuesday to take the Red Devils's summer spending past the €160m mark, but they are determined to bring in more players before Monday's deadline.
The club also is considering a late move for Ajax utility man Daley Blind, a player United has been monitoring all summer despite the Dutch club's insistence that it has not been contacted by United whatsoever.
Technical Director Marc Overmars said Wednesday that Blind would only be sold for an "absolute top price" this summer, admitting that a cheaper sale in 2015 is possible.
But United is in a hurry following a poor start to the season which turned embarrassing Tuesday evening when it lost 4-0 to League One outfit MK Dons in the Capital One Cup.
That match could be the last ever in a United shirt for several players. Danny Welbeck, Anderson and Javier Hernandez all started at Stadium:mk and Van Gaal is willing to let them leave the club this week if suitors come forward.
Borussia Dortmund is also interested in a loan move for Shinji Kagawa, who left Signal Iduna Park for Old Trafford in 2012. The Japan international was withdrawn Tuesday evening with a head injury after just 19 minutes.
It would be a final appearance to sum up his two-year spell in English football, which has failed to get off the ground under first Sir Alex Ferguson and then David Moyes, with new boss Van Gaal willing to cut the club's losses.