Los Angeles, California (CNN) -- Former "Survivor" producer Bruce Beresford-Redman, accused of killing his wife, will stay behind bars at least another 12 days when a federal judge will hear his argument for bail.
Beresford-Redman was taken into custody by U.S. marshals in Los Angeles on Tuesday afternoon on a warrant from Mexico, the U.S. attorney's spokesman said.
U.S. Magistrate Suzanne Segal set November 29 as the date for his bail hearing, but his defense lawyer acknowledged getting him out while he waits for a decision on his extradition will not be easy.
"We know we have an uphill battle, but we think we have enough evidence to convince a judge to do so," defense attorney Richard Hirsch said.
An "aggravated homicide" warrant, unsealed Tuesday, accused Beresford-Redman of killing his wife, Monica Beresford-Redman, "by asphyxiating her" at a Cancun, Mexico, resort on April 5.
Beresford-Redman was arrested without incident at his Rancho Palos Verdes home, officials said.
Monica Beresford-Redman's sister, Jeanne Burgos, was in court when her former brother-in-law was brought before the judge in a Los Angeles federal courtroom. She said it was a sad moment.
"There is just a hope to go where we need to go so justice is served, but really there is no happy ending here," Burgos said.
Beresford-Redman's lawyer predicted it could take a year before a decision is made by U.S. courts about Mexico's request for extradition.
"We believe we have sufficient evidence to raise a doubt in the judge's as to whether our client is responsible for this crime," Hirsch said.
The couple and their two young children were staying at the Moon Palace Resort. Monica Beresford-Redman's body was found in a resort sewer on April 8.
The initial investigation suggested she "died of strangulation, because of the bruising," Mexican regional police spokesman Adrian Cardena said.
The extradition request cited as evidence several witness statements, including one from two British teenagers who were in the hotel room below where the Beresford-Redmans were staying.
The boys wrote that they were awakened by "screams, crying for help and extremely loud banging from the room above" at 6 a.m. on April 5. "It sounded like a woman in extreme distress" and lasted for 15 minutes, their statement said.
The document, which used her maiden name, said the couple "had been having marital troubles for some time before her murder."
"The marital problems continued in Cancun," it said. "In a conversation from Cancun on April 4, 2010, Monica Burgos told her sister, Ferreira Burgos, that she had found evidence that [Beresford-Redman] was still in contact with the woman with whom he was having the affair."
Bruce Beresford-Redman was charged with his wife's slaying in May and an extradition request from Mexico was delivered to the U.S. government in June.
The arrest was delayed when his lawyers in Mexico filed an "amparo" with a federal court in Mexico City, a document arguing there is not probable cause to charge him, a defense lawyer said.
Hirsch, in a summer CNN interview, accused the state judge in Mexico of "a rush to judgment" in charging Beresford-Redman, saying, "It appears that this case is being handled in a manner outside the normal procedures in Mexico."
The producer was briefly detained by police in Mexico after his wife's body was found in April. His passport was taken by investigators, and he was told not to leave Mexico until the inquiry was concluded.
Beresford-Redman returned home in May, without the knowledge of investigators, to take care of family business and see his children, his lawyer said.
He has lived in his Rancho Palos Verdes home with his children since May, although his parents have temporary legal custody of the children, ages 3 and 5.
Bruce Beresford-Redman built his career as a Hollywood reality television show producer.
He worked for several seasons on the popular CBS show "Survivor," in which contestants compete against each other in a variety of extreme outdoor scenarios.
He was nominated for three Emmy Awards as a producer on the show and was last credited as a producer in 2004.
He also worked on NBC's "The Contender" and "The Restaurant," as well as MTV's "Pimp My Ride," according to entertainment media company IMG.
Monica Beresford-Redman, a native of Brazil, owned a restaurant in Los Angeles.