The speaker is caught between wanting to let someone go and being afraid of being let go in return. The opening stanza describes an inner struggle: painful feelings the speaker tries to silence, and a choice about whether to turn away. If they do, they promise to forgive the other person for forgetting. The image of footprints on the sand fits this well, since a face, like a footprint, fades and washes out with distance.
The second stanza turns into a plea. "Remember me" is both a request and a kind of warning. The speaker imagines coming across "the eerie evidence" of the other person and feeling "burning, burning regret" that something once so sweet is gone for good. The poem ends on a bleak note: the two will never meet again, and the speaker is left struggling to forget completely. The mood is wistful and aching, tinged with bitterness. The title says remember me, but the ending suggests the speaker may be the one who cannot let go.