The Sunday Mirror reports that Arsenal boss Arsene Wenger had the midfielder watched at Stoke a week ago.
Wenger is looking to strengthen his squad in January in order to to maintain a challenge at the top oft he Premier League.
Mulumbu signed a new contract at West Brom in the summer and the Baggies are keen to keep the Democratic Republic of Congo international at the club.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?