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The Northern Irishman is available for £3m following the Baggies’ relegation from the Premier League, according to the Daily Star.
Arsenal failed with a bid of £10m plus right-back Mathieu Debuchy for Evans in January, but are said to have renewed their interest in the player.
Manchester City were strongly linked with Evans in January but West Brom rebuffed their approach as they were unable to source a replacement.
Evans joined the Baggies from United in 2015 in a deal worth £6m.