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FBI agents probing the murder of a Staten Island mom in Turkey said they don’t believe she was there just to take pictures — and said she hung out with a “criminal element” during the solo trip abroad.

“There are a lot of open questions that need to be answered,” a source familiar with the ongoing case told The Post.

Mother of two Sarai Sierra, 33, was found dead from a ferocious blow to the skull in a seedy area of Istanbul last Saturday after failing to show up for a Jan. 21 flight home to New York.

“The first people she met up with were a criminal element,” the source said of Sierra, who flew to Turkey Jan. 7, then to Amsterdam on Jan. 15 and Munich on Jan. 16 before heading back to Istanbul Jan. 19.

The FBI is in Turkey investigating the case, and is looking into a possible connection to drug trafficking — among other lines of inquiry, a source said.

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    “There are some witness reports that she was seen with sketchy characters,” said the source, adding that agents are following up those leads to determine if they’re accurate.

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