The young child was rushed to hospital from Putney Leisure Centre on Tuesday afternoon (April 19).
Their family has been informed and a crime scene has been put in place while police carry out an investigation.
Officers are treating her death as unexplained and are still working out the circumstances around her tragic death.
A Metropolitan Police" data-wpil-keyword-link="linked" data-wpil-monitor-id="88277">Metropolitan Police spokesperson said: “A ten-year-old girl was reported to be in cardiac arrest.
“Officers and London Ambulance Service" data-wpil-keyword-link="linked" data-wpil-monitor-id="53962">London Ambulance Service attended and administered emergency first aid.
“The child was taken to hospital where she sadly died a short while later.
“Next of kin are being informed. The death is being treated as unexplained. A forensic scene is in place.”
A spokesperson for the leisure centre said: “Unfortunately at the leisure centre yesterday a girl became unwell.
“She was taken to hospital and we later found out she died.
“Our thoughts are with her family and friends at this time”
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