Born in London, Saye lived with her Gambian mother in Grenfell Tower.
The number of people who perished in the horrific fire now stands at 17, with that figure expected to rise.
Officers previously confirmed that Syrian refugee Mohammad Alhajali, 23, had been formally identified.
Fire broke out in the 24-storey Grenfell Tower, a social housing block in Kensington, in western London, in the early hours of Wednesday, trapping residents inside as it tore through the building with terrifying speed.
He said his 24-year-old friend had not yet achieved the "power or locus or agency" to be able move out of the tower.
Someone asked, "Did you try going down low with towels?' She said "Yes, it's in my room".
He had tried to escape his 14th floor flat with his older brother Omar, but the pair became separated on the way down and Mohammed returned upstairs.
The Syria Solidarity Campaign issued a statement following the news of Mr Alhajali's death.
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Creative Access, a social enterprise which helped kick-start her career, said: "Khadija was a tremendous talent who had such a bright future ahead of her". "Khadija was a handsome young woman who had blossomed over the last few years", said Lammy.
Khadija was with her mother Mary Mendy, in the flat when fire broke out.
"She's one of the most handsome, kind and soulful people I've ever met".
Khadija Saye's exquisite photography, a series of images which explores the spirituality of Gambian people is now exhibited in Venice as part of the Diaspora Pavilion.
The rest are missing presumed dead, Metropolitan Police Commander Stuart Cundy said on Monday. There's a fire in my council block. My heart breaks today.