A three-dimensional hydraulically entangled nonwoven composite structure made of nonwoven fibrous web and a fibrous material integrated in the nonwoven fibrous web by hydraulic entanglement is disclosed. The nonwoven composite structure has a greater ability to maintain an embossed pattern when wet and has the ability for the structure to recover after it has been compressed, to a greater degree than previously found. Also disclosed is a method of making an embossed hydraulically entangled nonwoven composite fabric.