We derive the constraints set by several experiments on the quartessence Chaplygin model ( QCM ) . In this scenario , a single fluid component drives the Universe from a nonrelativistic matter-dominated phase to an accelerated expansion phase behaving , first , like dark matter and in a more recent epoch like dark energy . We consider current data from SNIa experiments , statistics of gravitational lensing , FR IIb radio galaxies , and x-ray gas mass fraction in galaxy clusters . We investigate the constraints from this data set on flat Chaplygin quartessence cosmologies . The observables considered here are dependent essentially on the background geometry , and not on the specific form of the QCM fluctuations . We obtain the confidence region on the two parameters of the model from a combined analysis of all the above tests . We find that the best-fit occurs close to the \Lambda CDM limit ( \alpha = 0 ) . The standard Chaplygin quartessence ( \alpha = 1 ) is also allowed by the data , but only at the \sim 2 \sigma level .