A 94th-minute goal from Rhys Murphy earned Dagenham a share of the spoils at in-form Morecambe.
The hosts took the lead through skipper Abo Ogogo, who latched onto a through ball and placed a low shot under onrushing keeper Barry Roche.
The Shrimps hit back with Padraig Amond's header from Ryan Williams' corner before skipper Mark Hughes netted his first goal for the club.
But Murphy's close-range finish with virtually the last kick rescued a draw.
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