The phrase "becoming drawn" is correct and usable in written English.
It can be used when describing a process of being attracted or pulled towards something, often in a metaphorical sense.
Example: "As the story unfolded, I found myself becoming drawn to the protagonist's struggles and triumphs."
Alternatives: "becoming attracted" or "being pulled in."
It's painful to watch, in a way". Set in the 1940s, The Night Watch goes back in time to trace the effects of the war on a group of characters including the heroic Kay, played by Anna Maxwell Martin, who rescues Helen from a bombed-out building and becomes her lover, only to find Helen becoming drawn to the far more worldly and capricious Julia Annaa Wilson-Julia Anna
Uy eventually agreed because, in her mind, she saw it as a chance to save Chamnan from becoming drawn into regular sex work.
Back in Olympia, following 9/11, their younger daughter was becoming drawn into the burgeoning peace movement and beginning to explore the reasons behind the atrocity.
Like Mr Merah he served time for robbery before becoming drawn to radical Islam.Yet, as Malek Boutih, a Socialist deputy, put it this week: "It's not just about poverty; social questions do not explain murder".
How many of us over the past 50 years have become fans by osmosis, watching Test matches on television because there was little else to do during the summer holidays, before becoming drawn in by its nuances and peculiarities?
From a Bloomsbury flat he led a late-night lifestyle, sharing the jazz scene of Colin MacInnes, George Melly and Francis Bacon and becoming drawn into protests against the 1958 Notting Hill riots.
As portals like Yahoo scramble to hold onto an audience that is becoming less drawn to general-interest news, Mashable, Business Insider and Gawker are among a group of smaller niche sites with devoted audiences that are appealing to advertisers.
John Halpern's "Refuge" is an abbreviated, 57-minute look at how citizens of the Western world are becoming increasingly drawn to Eastern thought and the appeal of Tibetan Buddhism.
I am becoming increasingly drawn to the idea that dividend-paying stocks will increase in favor over the next several years.
According to a recent report by The Colorado Springs Gazette, parents of children suffering from severe epilepsy are becoming more drawn to the apparent success stories of children whose seizures are being curbed by medical marijuana.
The sample was selected from a larger study entitled "Elderly persons in the risk zone" [ 32], addressing community-dwelling, independent persons, 80 years and older (n = 459), who were at risk of becoming frail, drawn from official registers in two urban districts in the city of Gothenburg, Sweden.
