Eleven people were still missing after the dam in Ratnagiri, around 275 kilometres (170 miles) south of Mumbai, burst on Wednesday and swamped seven local villages, rescuers said.
Heavy rains in India kill 27, cripple financial capital
"We have commenced rescue operations for the second day and recovered 13 dead bodies. We are still trying to find remaining victims," National Disaster Response Force spokesperson Alok Awasthy told AFP.
In Mumbai, the death toll from a wall collapse in a slum on Tuesday rose to 26 as the city braced for 200 millimetres (eight inches) of fresh rain forecast in the coming days.
Six labourers also died in the nearby city of Pune when another wall collapsed on Tuesday.
Building collapses and dam breaches are common during the monsoon in India due to dilapidated structures that buckle under the weight of continuous rain.
20 dead as bus plunges into gorge in Indian Occupied Kashmir
Torrential downpours in Mumbai - a city of 20 million - earlier this week caused traffic misery as floods swamped roads and railways and forced the closure of the airport's main runway, which remained off limits on Thursday.
India's second-busiest airport cancelled 75 flights on Wednesday and more than 100 on Tuesday, causing chaos for passengers.
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