Original: Eisenstein was thence able to ingratiate himself with Stalin for 'one more chance', and he chose, from two offerings, the assignment of a biopic of Alexander Nevsky, with music composed by Sergei Prokofiev.
Simplified: Eisenstein was then able to impress Stalin again for "one more chance", and he chose, from two offerings, the job of a film of Alexander Nevsky, with music composed by Sergei Prokofiev.