I’ve been playing for 3 weeks and only found 1 Pet! It’s only a rare fairy as well!
P.S the rare hound you get at the start of the game
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You only need to find the pink healing well in the level, the Enslaver who drops pets will always be about a screen’s distance away and can spawn on opposite sides of the walls!
Random Enslavers can drop all rarity pets, but the chance is very low for legend/eternal
If you are new, and don’t buy boosts, you can get an enslaver about every 5 maps/2 minutes if you run fast to the well and reset on floor 101/200
If you get a free random boost from collecting orbs, and it randomly selects “monster spawn”, (we see the list in loading screens) you will get Enslavers in every level, so when this happens, definitely rush to the pink well to collect more pets 
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Welcome to DQ Forums @Gmangeorge5678 !
Thank you @Golem 