I will present some ideas on the possibility that gravity is 
an emergent phenomenon in a class of combinatorial 
models, proposed within the framework of discretized 
models for quantum gravity, namely group field theories. 
I will discuss the ideas on the appearance of a 
continuum semiclassical phase (described in terms of 
local quantum field theories on a classical space-time) as 
well as possible deviations that might be relevant for 
observations (nonlocality, physics of the early universe 
etc.), from the point of view of phase transitions.