NEW YORK — Members of New York’s congressional delegation hope to untangle the immigration status of a Mali native whose wife and four children died in a Bronx house fire so that he can return to the US after burying his family in West Africa.Air France has offered free airfare to Mamadou Soumare, who came to the United States in the 1990s, but his documentation “remains uncertain,” said Risa Heller, a spokeswoman for Sen. Charles Schumer, D-N.Y.

“We’re working to find a solution that will allow Mr. Soumare to bury his children and wife in Mali,” Heller said.

Sen. Hillary Rodham Clinton and US Rep. Jose Serrano also are “looking at ways in which that might be achieved,” Clinton’s office said in a statement.

Serrano, a Democrat who represents the Bronx, has petitioned for a re-entry visa — on humanitarian grounds — with US Immigration and Customs Enforcement.

“We have some members of the family who may be here undocumented,” Serrano said.

A space heater was blamed for sparking the inferno in the home Soumare shared with Moussa Magassa, the father of five other children killed in last week’s fire.

Soumare and Magassa attended the funeral for all 10 victims at the Islamic Cultural Center in the Bronx, where a sea of Muslim mourners knelt in the streets as the simple wooden coffins arrived at the mosque. Magassa’s children were later buried in New Jersey.

After the funeral service Monday, the bodies of Soumare’s wife and four children — from seven months to seven years old — were taken back to Francisco’s Funeraria in East Harlem, where they’re being kept until the immigration case can be resolved.

Privacy laws prevent the government from commenting on individual cases, but Lucille Cirillo, a Customs and Border Protection officer, acknowledged that Soumare’s situation “is heartwrenching.”

Last week’s fire has prompted a huge outpouring of support from strangers. The families have received almost $300,000 in donations and accepted Yankees owner George Steinbrenner’s offer to pay for the funerals. And a contractor has offered to rebuild the ravaged house, free of charge.