United chief-executive Ed Woodward even flew to Catalonia this week, but the clubs could not complete the deal.
Chelsea also remain interested in Everton defender John Stones, but the clubs have yet to agree on a fee for the 21-year-old. The Blues have made a £30m approach, but the Toffees are holding out for £40m.
Pedro, 28, has scored 99 goals in 326 games for Barcelona, and has won five La Liga titles with the club.
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