The conclusion of the play is problematic. In Samuel Beckett's theatre, conclusion is a non-existent. Beckett is more of an asker than an answerer.
What happens at the end of Endgame? Does Clov leave? Does Hamm go back to sleep and with a suggestion that the next day, the entire process would begin anew (the infinitesimal cyclicality of the two acts in Godot)? What about the child outside? Is it real or just a fantasy? What if the child comes into Hamm's room? Then, the whole adoption-process will repeat itself.
These are all open-ended questions in the play. The basic point is the projection of a negative vision of eternity as a curse. The endlessness is also the cause of the self-undoing meaning of life. The endgame-turn in the game of Chess is a turn, where it becomes impossible to conclude the game. It is a stalemate and the game can only be abandoned then.
Hamm's mother is dead at the end of the play, which might symbolise the impossibility of regeneration in the apocalyptic world. His father goes silent after the curse to Hamm while Hamm's great final soliloquy sums up the human condition--the "old engame" lost of good, played for good. The play breaks off rather than ending. Clov's moving and fixed gaze at Hamm makes one feel that he will not be able to leave his master all that easily.