Did I missed something, as far as i knew I can only buy them in the secondLast Area and I can't complete everything with Wild mons.
1. You can breed them in a quick mode, without seeing an animation. It doesn't require any sex positions.
Edited: This one doesn't work anymore, since the latest update. That is, for the quick mode now you need to learn at least one position.
2. Breeding is also possible outside of the breeding yard, just set one nephelym from each barn as a vagrant, and set in the menu "Vagrant pregnancy = on".
Then they will breed either with you when requested, or randomly with each other.
3. You can learn the first position (doggy) in the forest with wolves and foxes. It's free to obtain.
Find the shrine in the nearest cave, approach the stone ring to summon Pawsmati, and have sex with her.
4. If you feel lazy, just use the cheat code "all sex positions".