Expresso says Liverpool, Newcastle United, Aston Villa and Chelsea are all watching the Ecuador international.
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Ordonez has been a revelation for Club Brugge this season and his form has attracted the attention of English clubs.
Newcastle and Aston Villa in particular are said to want to make a serious attempt to sign Ordonez during the winter transfer window.
The 20 year-old has a deal with Club Brugge to 2028.
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