The Belfast Telegraph reported last week that the Auckland Blues duo were heading to Ulster as part of incoming coach Matt Williams' recruitment drive, but in an interview with New Zealand's Sunday News the pair said they were going nowhere.
"It's the same with all these speculation things," Evans said. "Everyone knows I'm coming off contract at the end of the year and obviously there's going to be a lot of to-ing and fro-ing and people thinking they're going to sign.
"I haven't made a decision yet for myself. I'm just concentrating on the Blues.
"My contract doesn't run out until the end of the year and I'm a long way away from that.
"It's something in the back of my mind and we'll see how things go when the time comes.
"I haven't heard from Ulster yet but it will be interesting to see if I do," Flavell said.