While the documents were heavily redacted in places, the Times reported that visible portions of the documents show the FBI telling the intelligence court that Page "has been collaborating and conspiring with the Russian Government."
The agency also told the court that "the FBI believes Page has been the subject of targeted recruitment by the Russian Government."
Page has denied being a Russian agent.
After a redaction, the Times reported that the application to wiretap Page included a partial sentence: "... undermine and influence the outcome of the 2016 US presidential election in violation of US criminal law."
The surveillance of Page became a contentious matter between Republican and Democratic lawmakers earlier this year.
Republicans alleged the FBI had abused its surveillance powers and improperly obtained the warrant, a charge that Democrats rebutted as both sides characterised the documents in different ways. The documents, meanwhile, remained out of public view.
-AP