Lauren Failla, 25, was holidaying in the Andaman and Nicobar Islands, close to Malaysia in the Indian Ocean, with her boyfriend.
She went missing on April 28 during a snorkeling trip and her body was found on April 30.
Attack: Lauren Failla was attacked by a crocodile while snorkeling in India
Attack: A saltwater crocodile like those found in India
Her family attacked local authorities for not posting more warnings about crocodiles after it was revealed there have been at least 24 crocodile attacks on humans in the area over the last 25 years.
Four of those were fatalities.
'Such an unnecessary death: if there had been proper warnings and statements that there are in fact man-eating crocodiles nearby, I am sure Lauren would not have risked swimming,' Gloria McLean Hiratsuka, Lauren's cousin, wrote to local media.
'She thought she was safe,' Ms McLean Hiratsuka wrote.
'Her father made a point of saying she was not a big risk-taker, always a little reserved, all the more since since her sister's untimely death four years ago.
'To me, this is such a big wake up call to our romantic notions about nature. Nature gives and she takes away - rather indifferently.
'It is human beings that must protect other human beings.'
Her friend Julia Morgan-Teresa wrote on a Facebook tribute page: 'This is truly a horrific and tragic loss. Such a beautiful and intelligent woman.'
There are three different types of crocodiles in India - the marsh or 'mugger' crocodile, which has the broadest snout of all crocodiles; the saltwater crocodile; and the gharial crocodile.
India's saltwater crocodiles are among the largest members of the species, with adults eating buffalo, cattle and snakes. Attacks on humans are not unprecedented - but they are generally rare.