The p + 6 Li → η + 7 Be reaction has been investigated with an emphasis on the η meson and 7 Be interaction in the final state. Considering the 6 Li and 7 Be nuclei to be α-d and α-3 He clusters respectively, the reaction is modelled to proceed via the p + d[α] → 3 He[α] + η reaction with the α remaining a spectator. The η meson interacts with 7 Be via multiple scatterings on the 3 He and α clusters inside 7 Be. The individual η-3 He and η-α scatterings are evaluated using few body equations for the η-3N and η-4N systems with a coupled channel η-N interaction as an input. Calculations including four low-lying states of 7 Be lead to a double hump structure in the total cross section corresponding to the L = 1 (J = (1/2) − , (3/2) − ) and L = 3 (J = (5/2) − , (7/2) − ) angular momentum states. The humps arise due to the off-shell rescattering of the η meson on the 7 Be nucleus in the final state.