The midfielder is being forced out of the Nou Camp and, having turned down a move to Benfica, the Daily Mail reports he prefers a switch to a Premier League club.
After failing to agree on terms with Wigan Athletic winger Charles N’Zogbia, City manager Alex McLeish has made Hleb his target, although wage demands could prove a stumbling block in any potential deal.
McLeish has inquired about a loan deal for Arsenal's Armand Traore, but City face competition from Serie A side Juventus for the full-back's signature.
Meanwhile, the Blues are confident of wrapping up a €500,000 deal for Spartak Moscow defender Martin Jiranek.
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Fabio Capello & FA differ on public perception
The governing body played the populist game and lost a manager who still had English football's best interests at heart but would not accept responsibility without command
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The top 20 clubs in football's money league
Deloitte's annual publication of the richest sides in football sees a familiar Spanish duo stretch their advantage over England's finest in 2010-11
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How Capello's exit will affect England's players
As the national team enters a new era, we take a look at the players who are now destined for big things and those potentially heading for the scrapheap under a new boss
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Cartoon: Redknapp sentenced to England service
Goal.com cartoonist Omar Momani gives us his unique take on the football news of the day ...
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The list of clubs that could try to sign Capello
Now that the Italian is no longer the England head coach, it is likely that a number of high-profile clubs from across Europe and elsewhere will make an attempt to lure him
