Three other US nationals are also expected to give evidence, although using videoconferencing facilities.
More than 170 people were killed in the Mumbai attacks, nine of them gunmen.
Mohammad Ajmal Amir Qasab, a Pakistani national, faces 86 charges, including waging war on India, murder and possessing explosives.
After initially pleading not guilty, Mr Qasab confessed that he was one of the gunmen. The trial continues despite his admission.
Six of the people killed in the attacks were Americans, reports say.
"Two Federal Bureau of Investigation officers are likely to appear in person to tender evidence," special public prosecutor Ujjwal Nikam was quoted as saying by the Press Trust of India.
The identities of the FBI officers and the American nationals have been kept secret for security reasons, the prosecutor said.
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