Pavon, 23, who currently plays for Boca Juniors, was wanted by the Gunners in January.
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However, Arsenal were priced out of a move for the winger after being told they’d have to cough up £40million.
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And they could miss out on Pavon again with ESPN Argentina reporting that the Major League Soccer side are being quoted just £9.44m.
The deal for the the Argentina international would also come with a 30 per cent sell-on clause.
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Galaxy would have to dump one of their three Designated Players – a rule that allows each MLS franchise to sign up to three players considered outside the team’s salary cap – to bring Pavon in though.
The club’s three ‘DP’s’ are Zlatan Ibrahimovic, Jonathan Dos Santos and French winger Romain Alessandrini, who would be the most likely to be cut.