Previously linked to "Baywatch" actor David Charvet and Uri El-Natan, Rafaeli began a relationship with American actor Leonardo DiCaprio in November 2005 after meeting him at a Las Vegas party thrown for members of U2. In the course of their trip to Israel in March 2007, the couple met with Israeli president Shimon Peres and visited Refaeli's hometown Hod HaSharon.
In 2007, Refaeli became a source of controversy when it became known that she had evaded military service, mandatory for Israeli citizens over 18, by marrying a family acquaintance and divorcing him soon after. Refaeli stated in an interview with "Yedioth Ahronoth", 'I really wanted to serve in the IDF, but I don't regret not enlisting, because it paid off big-time,' further adding, 'Why is it good to die for our country? What, isn't it better to live in New York?' Refaeli has since said the interview didn't accurately reflect her statements and threatened to file a lawsuit for libel. Consequently, the Israeli Forum for the Promotion of Equal Share in the Burden threatened to boycott the fashion chain Fox if they hired Refaeli, but the two sides reached a compromise in which the model would visit injured IDF soldiers on visits to Israel and encourage enlistment in the army.
Most of the criticism about her focuses on the fact that she deceivingly evaded her military service (that is compulsory in Israel) by marring an old man who was a friend of her family.
Now, the press doesn't like her much because during her last visit in Israel with her boyfriend, Leonardo DiCaprio, they were very introverted and didn't let anyone picture them. It sounds like a joke, but some journalists took it rather personally and boycotted her. (here's the story, if you can read Hebrew.
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