  We analyse in detail the possibility of Bose-Einstein condensation of pions
produced in heavy-ion collisions at the beam energy $\sqrt{s_{\rm NN}}$ = 2.76
TeV. Our approach is based on the chemical non-equilibrium thermal model of
hadron production which has been generalised to include separately the
contribution from the local zero-momentum state. In order to study both the
hadronic multiplicities and the transverse-momentum spectra, we use the Cracow
freeze-out model which parameterises the flow and space-time geometry of the
system at freeze-out in a very economic way. Our analysis indicates that about
5% of all pions may form the Bose-Einstein condensate.
