Reintroduction a complicated topic and is not to be taken lightly. It is (or should be) an extremely exacting science.
For one, you need to examine why they're extirpated. Pollution? Habitat loss? Poaching? Take axolotls for example. They're practically extinct in the wild, and there's no chance of reintroduction because their habitat is gone. It just simply does not exist any more, there is no place to put them.
A couple of examples from my home state of Michigan: Marbled salamanders are listed as threatened, and probably extirpated. They only found one specimen, 70 years ago, and that was their basis for the species existing in Michigan. Also, lesser sirens are considered extirpated, although only a small handful were collected, and they may well have been dumped as bait. These species may well not be native to Michigan, and reintroduction of them would be moot.
You'd need tigers with appropriate genetic makeup. You couldn't use just any ol' tiger salamander. That means you'd have to have animals that are from the area, and breed them. That's extremely difficult in itself. I'd say about a dozen people world-wide have bred tiger salamanders reliably.
Then you'd have to have an appropriate number to prevent any genetic bottlenecks. Most scientists agree that you need 500-5000 individuals to have a viable (albeit very fragile) population. These all need to be absolutely free of any contagious diseases that may infect existing amphibian populations.
And finally, even if you had all of these bases covered, there's no way to guarantee your tigers will breed in the ponds you released them. They may all simply die off over time and cease to exist. Again.
Please don't take it into your own hands to reintroduce animals. Many people have done things with good intentions (red eared sliders, anyone?), and have created huge problems.