A boy who was allegedly thrown from the 10th floor of the Tate Modern is making "amazing progress" in his recovery, his family have said.
The six-year-old, who was visiting London from France, suffered serious injuries including a brain bleed and spinal, leg and arm fractures after the plunge on 4 August. He was found on a fifth-floor roof at the art gallery.
His parents had said he was "struggling with all his strength" after two "difficult" operations, but a month after the incident, they were more positive about his prospects.
The boy cannot speak or move his body but his family said they were "sure" that their "incredible fighter" could now understand them.
In a message posted on a GoFundMe page set up to help fund his recovery, they said he had even been seen laughing.
The appeal, which was launched by London nurse Vicky Diplacto, whose brother was paralysed in a similar incident overseas, has raised more than £54,000.
The latest message said: "Hello everybody. Just a little message to tell you about our son's amazing progress. He is an incredible fighter.
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"Even if he can't speak or move his body for the moment, we now know for sure that he understands us: he smiles and we saw him laughing several times since a couple of days when we were telling him some funny things or when we were reading to him some stories.
"It gives us lots of strength and hope, as much as the strength you, all of you, give us since the beginning with your kind messages. Thank you so much for what you do for our little boy and for us."