The R-matrix method is used to treat electron collisions with the molecular radical CF2. These calculations concentrate on obtaining low-energy (less than 10 eV) elastic and excitation cross sections of the six lowest-lying electronically excited-states of the CF2 molecule. These states have symmetry 3131, 1131, (3)A(2), (1)A(2), B-3(2) and B-1(2) and vertical excitation energies in the range 2.44-10 eV. Two shape resonances of (2)A(1) and B-2(1) symmetries are found at 5.61 and 0.95 eV respectively. Calculations which stretch one C-F bond show that the 2131 resonance becomes bound at a bond length beyond 3.2 a(0). No other bound CF2- states are found.