has been receiving poetic text messages from Ryan Gosling.
The actor is believed to be smitten with the 27-year-old beauty
- who split from rocker boyfriend Devendra Banhart last September - and is showering her with romantic gestures in a bid to woo her.
A source told the Chicago Sun Times newspaper: "Natalie always has been attracted to actors and other men who are intellectuals and Ryan qualifies.
"Along with continual and very poetic text messages, Ryan has been sending Natalie first editions of books he thinks she would like."
Ryan, who previously dated his 'Notebook' co-star Rachel McAdams, fell for Natalie after the pair met in Los Angeles nightclub Bardot recently.
Natalie is said to be "intrigued" by 28-year-old Ryan - who was performing a DJ set at the nightspot when he was introduced to the 'Other Boleyn Girl' actress.
Ryan is currently taking a break from acting to work on an album, while Natalie is preparing to start shooting a movie alongside Brad Pitt.