Toppled and tangled together

Hello everybody.

“Ow! That’s rough! Help!” Copper yelled from inside the cloth. “And
just now, a hooligan has appeared on the field.”
“Hey! Will you shut up, I said! Stop talking!”
“The hoo…the hoo…the hooligan is a Waseda supporter!”
“HEY!!!”
Kitami, whose face had turned bright red with laughter, pushed down
with all his might on Copper. Under attack, Copper continued all the
same.
“The hooligan…has inter…interrupted the broadcast. The
commentator is now in a life-or-death struggle!”
Kitami burst out laughing. Copper seized the moment to try to stand
up, and the two of them toppled, tangled together, beside the desk.

I can't figure out what the bold part means. Do they tangled and toppled down beside the desk?

Thanks ??