  We demonstrate the existence of quantum droplets in two-component
one-dimensional Bose-Hubbard chains. The droplets exist for any strength of
repulsive intra-species interactions provided they are balanced by comparable
attractive inter-species interactions. The ground-state phase diagram is
presented and the different phases are characterized by examining the density
profile and off-diagonal one- and two-body correlation functions. A rich
variety of phases is found, including atomic superfluid gases, atomic
superfluid droplets, pair superfluid droplets, pair superfluid gases and a
Mott-insulator phase. A parameter region prone to be experimentally explored is
identified, where the average population per site is lower than three atoms,
thus avoiding three-body losses. Finally, the bipartite entanglement of the
droplets is found to have a non-trivial dependence on the number of particles.
