Heavy-flavour production in pp and Pb-Pb collisions at ALICE

In this contribution, recent ALICE measurements of the production cross section of single electrons, single muons and open charmed mesons in proton-proton collisions at sqrt(s) = 7 TeV are reported. The data are compared to next-to-leading-order perturbative QCD calculations. First open charm signals in Pb-Pb collisions at sqrt(sNN) = 2.76 TeV are shown.