Quantum Integrable models play nowadays a prominent role in understanding strongly correlated low-dimensional quantum physics. The models that were once a mathematical curiosity, thanks to the advent in experimental methods, turned out to be actually useful. Their usefulness however goes beyond direct modelling of physical phenomena. They also help us with understanding problems of fundamental nature, concept of thermalization being one prominent, and recently explored, example. My talk will be roughly divided in two parts. In the first part I will try to present the (inevitably biased) state of art on the interplay between quantum integrability and condensed matter. In the second part, I will discuss our new contribution to this area, the Thermodynamic Bootstrap Program.