A process of Central Exclusive $pi^+pi^-$ production in proton-proton collisions and its theoretical description is presented. A possibility of its measurement, during the special low luminosity LHC runs, with the help of the ATLAS central detector f
or measuring pions and the ALFA stations for tagging the scattered protons is studied. A visible cross section is estimated to be 21 $mu$b for $sqrt{s}=7$ TeV, which gives over 2000 events for 100 $mu$b$^{-1}$ of integrated luminosity. Differential distributions in pion pseudorapidities, pion and proton transverse momenta as well as $pi^+pi^-$ invariant mass are shown and discussed.
