Success only stimulated his insatiable ambition.
If memory serves, you were the insatiable one this morning.
The attention of European diplomacy at this time was concentrated upon the king of Prussia, whose insatiable acquisitiveness disturbed all his neighbours.
His ambition was insatiable; he is said to have exclaimed when looking at a map that the whole world did not form a sovereignty vast enough for one monarch.
This time, there was more than insatiable lust and need in his kiss.