  We report on an optical setup generating more than one bit of randomness from
one entangled bit (i.e. a maximally entangled state of two-qubits). The amount
of randomness is certified through the observation of Bell non-local
correlations. To attain this result we implemented a high-purity entanglement
source and a non-projective three-outcome measurement. Our implementation
achieves a gain of 27$\%$ of randomness as compared with the standard methods
using projective measurements. Additionally we estimate the amount of
randomness certified in a one-sided device independent scenario, through the
observation of EPR steering. Our results prove that non-projective quantum
measurements allows extending the limits for nonlocality-based certified
randomness generation using current technology.
