David Duchovny and Tea Leoni step out together

A year after their very public split, David Duchovny and his wife Tea Leoni marked their reunion with their first red carpet appearance together. After a rocky 18 months, which saw Duchovny check into rehab for sex addiction and Leoni allegedly have a brief relationship with her co-star Billy Bob Thornton, the couple have managed to overcome their problems.The reunited couple, who havebeen married for 12 years, showed the world they were officially back together as they attended the UNICEF Snowflake Ball in New York last night. Tea Leoni and David Duchovny attend the 2009 UNICEF Snowflake Ball at Cipriani 42nd Street In love again: David Duchovny and Tea Leoni made their first pubic appearance as a couple since their split at the UNICEF Snowflake Ball in New York last nightBoth wearing black in keeping with the glitzy event’s black-tie dress code, the couple looked thrilled to be in each other’s company and didn’t leave each other’s side all night. Last night marked the first event they have attended together since they announced they were separating in October 2008.Duchovny, 49, and Leoni, 43, revealed their split shortly after the X Files actor completed a two month rehab stint for sex addiction, but said they had been separated for several months before that. Following their separation, Leoni was romantically linked to her Manure co-star Thornton, who she had described in a magazine interview as ‘maybe my new favourite person in the whole world’. Tea Leoni and David Duchovny attend the 2009 UNICEF Snowflake Ball at Cipriani 42nd StreetThe look of love: Leoni kept her gaze on her husbandBut by December that year, it appeared they had decided to give their marriage another go for the sake of their children Madelaine West, 10, and Kyd Miller, seven.As they focused on getting their relationship back on track, the couple took a step back from the spotlight and over the summer travelled across the States in a campervan with their children.