The phrase "insisted on bringing" is correct and is usable in written English.
You can use it when you want to express that someone was very eager to bring something. For example: She insisted on bringing her own laptop to the meeting, even though the company had provided one.
(In one building, the management insisted on bringing along a camcorder when building employees had to enter an apartment while a tenant was out).
When I went out to eat with him one night, the waiter insisted on bringing him a cappuccino — a drink he had never heard of — instead of his customary Sanka, and he irritably said, "Listen, I use small words and few of 'em".
Finally, when Reubens was invited to host the show, he insisted on bringing along Hartman and one other writer to help craft his material a practice the show's staff typically resents but that they assented to in this case because of the singularly strange and specialized nature of Reubens' Pee-wee character. .
FinallyLary whenace on TwitteReubens
They also insisted on bringing to the talks Jürgen Trittin, one of the outgoing leaders and an avowed leftist who bears most blame for the losing party programme.The Greens are thus deeply divided as they ponder whether to join a government.
The children had insisted on bringing along the balloons won during an onboard treasure hunt, and when one popped, the suited gent I'd taken to be our relief driver wheeled round, giving those of us near the front a flash of shoulder-holster and dark metal.
"Vito insisted on bringing friends from Staten Island.
Then, all of a sudden, some people insisted on bringing the subject up again.
It's better than the jukebox that the bee insisted on bringing.
After a bite or two, the table gave up; the waiter insisted on bringing something else.
In fact, she insisted on bringing her umbrella when I took her to school last week.
