So since we're discussing how Varris WON'T be everyone's friend this go round, and the devs have already announced that he won't get along too well with Iron Bull or Cassandra, what other companions do you think he might not get along with? Which ones do you hope he gets along with?
Personally, I hope he gets along with Dorian - even though I can reasonably see where he might not - because I plan on having both of them in my party as often as possible.
Iron Bull--I can see him warming up to, but being pretty cold at first. I could definitely see a solid friendship forming between those two during the course of the game.
Cole--I think he's going to be very cautious of. Dislike, probably not. Trust the kid as far as he could see him? Hell no.
Cass--I don't think he's ever going to entirely like her, but I could see the snarky comments toning down during the game.
Vivi--A mix of fear and respect, but I think he would admire a strong mage that's worked her way to the top.
Blackwall--I think these two are going to hit it off almost immediately and this is another friendship that I hope happens.
Sera--See the above. 
Solas--A mage elf that loves nature. I really can't predict Varric's reaction here; it could go either way. I could see the Fade connection making him uncomfortable.