"draw further on" is a correct and usable phrase in written English.
It means to continue or extend something, often in a figurative sense. Example: "As the sun set, the speaker drew further on their memories from childhood, captivating the audience with nostalgic stories."
To draw further on its already depleted line of credit would likely doom the ongoing negotiations with the banks.
As a greater proportion of its patient base shifts into models like this, Intermountain will be motivated to draw further on its substantial investments in IT, data analytics, protocol development, and workflow changes to improve the quality and lower the cost of its care delivery.
The markedly high carbon demand by bunches caused a mid-season negative carbon balance, implying that shoots had to draw further on reserves to supply the carbon.
What still remains now is to draw further on the experiences of this young program to define those elements of disease-specific program integration that can yield the greatest benefits cost-effectively and cost-efficiently.
I took one step, then another, thinking I would retrace my steps and return, but was drawn further on instead.
But he would not be drawn further on the subject.
He would not be drawn further on the nature of what was said.
Called Unseen, it and the accompanying book drew further on "overlooked" images of London, Paris and New York by the three photographers, who all attended the launch.
Sensing that he is not going to be drawn further on this, I decide to talk more generally about the City.
His newest project may finally disclose the hidden performer: he is devising an opera based on early anatomy lessons, drawing further on the artist-as-impresario aspect of his work.
She will not be drawn further on her troubled relationship with her parents, but says that she made peace with both her father, who died last year aged 99, and her mother, who now suffers from dementia.
