Two Portuguese newspapers said the Public Prosecutor's office intended to call offtheir search for the British girl before July 14, when the customary official secrecy periodcovering the investigation ends.
Police could reopen the case if new evidence emerges, the papers said.
The papers — Correio da Manha and Jornal de Noticias — cited unidentified police sources.
Officials could not immediately be reached for comment before office hoursTuesday.
Madeleine McCann went missing in Portugal's southern Algarve region during a familyvacation in May last year, a few days before her fourth birthday. Detectives named her parents,Kate and Gerry, and local man Robert Murat as formal suspects in the case. All denied involvementin Madeleine's disappearance.
The McCanns, who launched an international campaign to find their daughter,returned home to central England with Madeleine's younger twin sister and brother last September, afew days after they were named as suspects.
Clarence Mitchell, the parents' spokesman, told Sky News they were trying toconfirm the reports but said he expected the search for Madeleine to continue.
"The police, if they are to shelve this without any charges, … then we would hope,surely it's only common sense, they would continue to search for a missing child," he said.
He said private investigators for the McCanns were continuing to sift material andwanted access to the police files, and lawyers would discuss that possibility with Portugueseauthorities.
He added: "Kate and Gerry will never give up the search for their daughter."
The case has drawn global interest. A few weeks after Madeleine vanished PopeBenedict XVI blessed the McCanns and a photo of their daughter during his weekly general audienceat the Vatican.
British and Portuguese police have cooperated in the investigation. Sophisticatedforensic tests on evidence gathered at the resort where the girl disappeared were carried out inBritain.
In April, British police in England, accompanied by Portuguese detectives,re-interviewed the McCanns' friends who were having dinner with them when Madeleine vanished.
