Media reports cited an argument between the two after Bellamy allegedly refused to train with one of the club's Italian coaches.
However, Mancini told reporters: "These things [an argument] can happen in a job. I don't have problems with Craig.
"I spoke with him in the office and read that I shouted at him, but I didn't. We just spoke face-to-face and the matter was solved.
"He is having treatment at the training ground and if the knee is okay, he will be available for Sunday."
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Craig Reid scored twice for Newport County in a 4-0 victory at Hampton & Richmond. The former City youngster now has scored 23 goals this season for the Conference South leaders.
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Leon Best was a 14th minute substitute for Newcastle in their 3-0 win over Preston North End.
John Eustace scored for Watford in a 2-2 draw at Scunthorpe, whilst Adam Virgo was sent off for Brighton in a 1-1 draw at Leeds.
Gary Madine was replaced after 59 minutes of Chesterfield's 3-2 at Darlington.
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