The Sunday Mirror says Anton Ferdinand refused to shake hand with Terry and Cole before Chelsea's game against QPR last weekend and brother Rio is likely to give the pair the cold shoulder when United visit Stamford Bridge on October 28.
The fact former Old Trafford midfielder Park Ji-Sung snubbed Terry at Loftus Road also raises the prospect that other United players could decide to show their support for the Ferdinands.
If found guilty by the FA, Terry may be suspended for Chelsea's game against United and would face a fine, although he could appeal.
Terry was cleared of racially abusing Anton Ferdinand by Westminster Magistrates' Court in July, when Cole appeared as a witness.
Rio Ferdinand was fined £45,000 by the FA after being charged with improper conduct for seemingly endorsing a tweet that described Cole as a 'choc ice' for giving evidence at court.
The Ferdinand camp were unimpressed by Cole's reaction to turn and spit when Anton refused to shake his hand last weekend.