**Abstract**.

Ordinary matter is in the form of bound states. The simple example is hydrogen, which is a bound state of one proton and one electron. Another example is the proton itself, which is a bound state of the elementary particles of QCD. In the light of this, it is natural to ask whether dark matter is made of bound states or if it is an elementary particle that can form them. The first part of my talk is devoted to the first possibility, that is, I will assume that dark matter itself is a bound state and I will discuss the phenomenological consequences associated to its finite size. In particular, I will show how such a finite size can address the small-scale problems of the LambdaCDM model. In the second part, I will focus on the second possibility and show how the bound-state formation might lead to interesting indirect detection signatures from the Sun and neutron stars.

*(The slides will be available here)*