The agency cited a source as saying a deal between the automobile maker and Uber could be announced by the end of the year, adding that FCA was also reaching out to online commerce giant Amazon.
A FCA spokesperson in Italy would not comment on the report.
The talks with Uber are at a preliminary stage and the San Francisco-based company is also exploring options with other car makers, the source said.
Fiat Chrysler announced an alliance with Google parent Alphabet in May, saying self-driving cars could hit roads within five years.
Google began testing its autonomous driving technology in 2009, using a Toyota Prius equipped with the tech giant's equipment. The deal with FCA sees it snap up 100 new 2017 Chrysler Pacifica Hybrid minivans.
An array of automobile makers including Audi, Ford, Mercedes, Lexus, Tesla and BMW are working on building self-driving capabilities into vehicles.
Uber unveiled its first self-driving car last month, announcing it had begun testing an autonomous vehicle on the streets of Pittsburgh, Pennsylvania.
In April the California group was among the founding members of an industry group called the Self-Driving Coalition for Safer Streets which also includes Alphabet unit Google, Ford, Volvo and Lyft.