Floccari has joined Sassuolo for an undisclosed fee, while defender Vinicius has been loaned out to Serie B outfit Padova with the option to buy.
"SS Lazio announces that it has reached an agreement with the Spanish club Valencia CF for the temporary transfer agreement with an option for the player Helder Manuel Marques Postiga," read the statement.
"The club also announces that it has sold Sergio Floccari to Sassuolo outright. SS Lazio also announces that the player Vinicius De Freitas Ribeiro has been temporarily transferred to Padova."
Postiga, who joined Valencia from Real Zaragoza last year, has earned 65 caps for Portugal and scored 27 goals at international level.