  Contextuality is often referred to as a generalization of non-locality. In
this work, using the hypergraph approach for contextuality we show how to
associate a contextual scenario to a general k-partite non local game, and
consider the reverse direction: how and when is it possible to represent a
general contextuality scenario as a non local game. Using the notion of
conditional contextuality, we show that it is possible to embed any contextual
scenario in a two players non local game. We also discuss different
equivalences of contextuality scenarios and show that the construction used in
the proof is not optimal by giving a simpler bipartite non local game when the
contextual scenario is a graph instead of a general hypergraph.
