The Daily Mail says Fellaini bore the brunt of Moyesâ€™s displeasure after Manchester Unitedâ€™s disappointing draw with Southampton last weekend.
The United boss was furious at his teamâ€™s sloppiness in giving away so much possession against Saints before they conceded a late equaliser at Old Trafford.
A post-match inquest revealed that Fellaini was the worst offender before he was replaced by Danny Welbeck 15 minutes from time.
The Belgium midfielder was an unused substitute against Sociedad as Moyes made his feelings known.
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