SÃO PAULO, Brazil — Federal prosecutors filed new corruption charges on Monday against Brazil’s former president, Luiz Inácio Lula da Silva, raising pressure on him and his family over dealings in Angola, the oil-rich country where Brazilian companies have aggressively raised their profile over the last decade.

The charges are the latest blow to Mr. da Silva, 70, who has been one of Latin America’s most influential politicians. In the scandal around the national oil company, Petrobras, he is already facing two separate trials on obstruction charges and charges that he illegally benefited from ties to O.A.S., a Brazilian construction company.

Opening a new legal front against Mr. da Silva, who was president from 2003 to 2010, prosecutors said that he helped the Brazilian engineering giant Odebrecht obtain lucrative contracts in Angola that benefited Taiguara Rodrigues, the nephew of Mr. da Silva’s first wife.

In addition to the charges related to Mr. da Silva’s time as president, prosecutors said that he continued seeking advantages for Odebrecht in the form of coveted financing from Brazil’s national development bank for projects in Angola, a former Portuguese colony controlled by José Eduardo dos Santos, one of Africa’s longest-ruling leaders.