Experimental searches for pure glueball states so far yielded no results. This is believed to be because glueballs mix with the qq-bar states. I will discuss an alternative mechanism, the formation of the glueball-meson molecular states. I will argue that the wave functions of already observed excited meson states may contain a significant part due to such molecular states. I will also discuss applications of effective field theories for non-relativistic scalar fields to the description of the glueball-meson molecules.