Williams, who hasn't played Indian Wells since 2001, concluded her tweet with "#approved".
Sharapova and Serena were caught up in a war of words before Wimbledon last year, after the American took a dig at Sharapova's romance with Bulgarian ATP player Grigor Dimitrov. Sharapova hit back with comments on the American's romance with her French coach Patrick Mouratoglou.
The two have since tried to smooth things over publicly, and Sharapova seemed intrigued by Williams' tweet. "I think we have to exchange designs," Sharapova said. "We have to design an outfit for each other, without knowing -- that would be fun to do, without telling each other what it is, just unveiling it."
But Sharapova would draw the line at some designs -- such as the kind of catsuit Williams famously modeled at the 2002 US Open. "Well, I have to put an end to the idea of the catsuit on me," she said. "I'm 26 already, so I think those days are over."
The four-time Grand Slam winner and former world number one, who has collaborated with apparel maker Nike on designs for tennis clothing, offered insight into her fashion philosophy. "I like to push the envelope a little bit but still maintain an elegant and classy look and appeal to girls that are playing Under 14s and junior tournaments, and appeal to ladies that are playing in a doubles league," she said.
"There's always a thin line because you have to create for different body shapes. It's fun. I really enjoy it."
She also keeps a keen eye on what her WTA rivals are wearing. "I think it's fun to compare and critique -- and gossip about it!"
Fashion passion thaws out Maria Sharapova, Serena Williams cold war
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