A Telegraph Media Group Spokesperson said: "We take this matter very seriously and have approached Yorkshire County Cricket Club to request a copy of their report, which we have not yet had sight of."
On another day of dramatic fallout which saw Yorkshire's chairman resign, the BBC said there was just too much potential conflict involved with Vaughan currently featuring on the show.
"The show focuses on topical discussion around current cricketing matters and given his personal involvement, we need to ensure we maintain the impartiality of the programme," a spokeswoman said. "We remain in discussion with Michael and his team."
The BBC added that it "takes any allegations of racism extremely seriously".
"The allegation against Michael Vaughan pre-dates his time working for the BBC, we were not part of the investigation conducted by Yorkshire County Cricket Club and we have had no access to the subsequent report," a statement added. "However, we were made aware of a single allegation which Michael strongly denies and we have been monitoring the situation closely."
Vaughan's co-presenter Phil Tufnell expressed sadness at the news.
"Obviously, it'll be a shame that Michael won't be appearing on the Tuffers and Vaughan Show on Monday," Tufnell told Telegraph Sport.
"It's the BBC's decision, isn't it? It's not mine."
Tufnell said he had not been told yet whether anyone would stand in for Vaughan on Monday but that he was looking forward to welcoming him back the following week.
He added: "He's always been a top guy and I've worked alongside him now for a number of years. I've never heard him say any racist comments or racist words, so all I can do is take as I find."
A new report from ESPNCricinfo says ex-Pakistan international Rana, who played for the White Rose as an overseas player in 2008 and 2009, is prepared to give evidence on the matter to support Rafiq.
Speaking at his home in Knutsford, Cheshire, on Friday night, the 2005 Ashes-winning skipper told the PA news agency:
"We're in different times. I've done my piece last night and I stand by what I say. I've never said anything racist in my life. I know that in my life, I've never said anything racist to anybody. So, that's what I stand by."