There is a trick for 2* wolves I have found to make one spawn.
But first your pen to capture the beast, dig a hole, no repairing fence's or walls. Dig it deep as 2 wall height, 4 meters. Then make it a 4 x 4 meter square, put tall steps at top going down into hole but not touching bottom. From there you can jump on ladder - stair to get out after wolf is in hole.
Put a small house next to hole so you have cover while taming the wolf or wolves. Dont leave, they still despawn when not fully tamed. This is for the 1 and 2* wolves only I believe.

Now you need to find a 1* wolf and kill it and remember where it spawned, keep moving in a big circle in the mountain area to come back around and it usually spawns a 2* wolf in the same area. Not in the same spot but in a 300 meter or less area from where you killed the 1* wolf.

Ive dont this multiple times on different map seeds and yes it can be done in any mountain area no matter how close they are to the Boss Stones where you spawn in on first spawn.

FWI this is important, once you get 2* wolf down in hole to tame, its a good idea to build a roof over the hole so wolf does not get killed by drakes or random attacks while you are waiting for the Wolf to be tamed. Dont for get Food for taming the wolf!

I forgot to mention, 1 and 2* wolves only spawn at Night in the Mountains.