For salamanders in Alan Moore's Jerusalem, in Tim Powers' The Anubis Gates and maybe also in CS Lewis' Narnia Chronicles, see here.
And I have so far neglected to cite the salamander in Robert Heinlein's Magic, Inc, which:
appears when summoned;
grows from a tiny spark into a living flame or fire-ball six inches across;
floats, dances, whirls and flames without needing fuel;
is perfect, beautiful, alive and a singing joy, neither moral nor human;
is harmoniously curved and coloured;
speaks in pure liquid notes while its colours vary accordingly;
can touch a man without burning him.
Each author takes the idea of a salamander and imagines it differently.