The phrase "a note insisting" is correct and usable in written English.
You can use it when referring to a written communication that emphasizes a particular point or request strongly.
Example: "She left a note insisting that the meeting be rescheduled to accommodate everyone's availability."
Alternatives: "a message demanding" or "a letter urging".
But later, Goldman's chief executive struck a different note, insisting that the bank's true views on the fate of complex financial products was of little relevance to those buying them.
Still, since his electoral victory in June, Mr. Passos Coelho, Portugal's new prime minister, has struck a confident note, insisting that his government would reduce the budget deficit by more than a third this year, to 5.9 percent of gross domestic product from 9.1 percent in 2010.
At the same time, the note insists that "since the Supreme Pontiff is the head of the College, he alone can perform certain acts which in no wise belong to the bishops, for example, convoking and directing the College, approving the norms of action, etc.," norms that "must always be observed".
The Indian prime minister, Narendra Modi, has urged Indians to give him more time to resolve a cash crisis that followed the withdrawal of high-value notes, insisting the shock move would benefit the poor in the long run.
A company representative, having examined his NHS notes, insisted that a historical reference to leg pain proved that the patient had lied about the exact year his varicose veins began to trouble him.
Maybe you saw it in a revival at a repertory cinema, where the programme notes insisted on its landmark status.
This combination of beliefs — fairy tales are wherever you find them; fairy tales are an oral feminist tradition — gives Tatar's collection its peculiar shape, as if a CD of folk songs included not just "Down in the Valley" but Stephen Foster and Bob Dylan and Irving Berlin and the Blues Brothers, too, while the liner notes insisted that the beauty of folk songs lies in their unstudied popularity.
The company, as Menendez notes, insisted on this phraseology, in large part because of its less controversial connotation.
Thompson said negotiations were not at an end but struck a defiant note by insisting to staff that: "There is no doubt there is a [pension fund] deficit".
