On 23 October 1999, Milo married her childhood friend, Cosmin Vinatu. According to Prosport, Cosmin was a sergeant major in the police force. The two were childhood friends, but lost touch when Milo moved to Deva. Then, in 1998, Milo was out with her brother and a group of his friends and they ran into Cosmin at a bar. Needless to say, Milo and Cosmin's friendship was renewed. Their wedding took place at the Termal restaurant in Timișoara, with over 350 guests. Milo told Prosport that the couple expected to live in Timișoara after the wedding, though she does own a house in her hometown of Lugoj. They had one daughter, Denisa Florentina, who was born in 2004 and died in 2008. Milosovici grieves chronically for the loss of her daughter, Denisa, going to the cemetery once or twice per week with her family. The godmother was former teammate, Simona Amânar. In January 2013, Lavinia gave birth to a boy, Cosmin Mihai, and in July 2016 Lavinia's second son, Andrei Nicolae, was born. Adding to her numerous post-career tragedies, however, in-between the birth of her first and second sons, she also suffered a miscarriage.