In this talk I will show how to compute a four-point scalar amplitude in AdS space by using methods developed for treating elliptic flat-space Feynman integrals. This compuation is based on a recent discovery connecting the Witten diagrams involved in the AdS amplitude and ordinary Feynman integrals. I will review the setup in which this connection was discovered and then explicitly show how to connect the AdS amplitude to an elliptic integral amenable to flat-space techniques.