Firstly, ask exactly what the interviewer considers to be a 'conflict'. It could mean a blazing row, or a difference of opinion, with all stops in between.
Once the definition is clear, it's much easier to answer.
'I don't have 'conflicts' as I prepare for any such occasions, and am ready to discuss amicably anything which has the remotest possibility to escalate thus. There's aoriginal statement cotradicted my view. point in being part of a team where working together is better than having arguments. Discussions are a completely different thing, and in my book aren't conflicts, nor should lead to them'.
Reminds me of the question - 'and when did you stop beating your wife?'
The answer of course is 'Well, sometimes I let her win the game...'