Reese Witherspoon and Ryan Phillippe dating again?

A reconciliation may be in the works for Reese Witherspoon and Ryan Phillippe .

Reese Witherspoon and Ryan Phillippe have been spotted shopping, jogging and lunching together in Los Angeles.

"They met for lunch this week at the Votre Sante health-food restaurant, a regular Brentwood haunt for Reese on San Vicente," said Page Six source. "And they're going on runs together around the Brentwood Country Club. Both are regular, dedicated runners. Running is a very healing, meditative thing, so maybe it will work its magic on them."

The pair also were spotted at Niketown Beverly Hills, where Witherspoon was fitted for a pair of Nike Air Zoom Vomero shoes. "She took them for a demo on the treadmill on the second floor and loved them."

A friend of Witherspoon says, "Reese and Ryan are trying to work it out. They are still close."

Phillippe's rep says, "It's not true."