The hearsay exception for former testimony can apply even if the issues in the former proceeding were not the same or were not substantially the same as the issues in the proceeding in which the former testimony is offered.

Bridgeway Corp. v. Citibank, 201 F.3d 134, 143 (2d Cir. 2000) (holding, in plaintiff Liberian corporations's action against defendant bank for enforcement of final judgment, that the trial court' properly admitted the....An exception to the hearsay rule applies to the following records of government offices and agencies: (A) public records that set forth the activities of the government office or agency; (B) public records that set forth observations that a government office or agency was required to make and report but this exception does not apply in criminal cases to observations of police officers and other law enforcement personnel; or (C) in civil actions and proceedings and in criminal cases when offered against the government, factual findings resulting from an investigation made pursuant to authority granted by law, unless the sources of information or other circumstances indicate the untrustworthiness of such findings.

Cf. United States v. Naiden, 424 F.3d 718, 722-723 (11th Cir. 2005) (upholding trial court's exclusion of defendant's statement [that he did not believe his online acquaintance to be fourteen years] as a state of mind exception....Federal Rule of Evidence 803(3) or a comparable State rule creates a hearsay exception for a statement by a declarant setting forth the declarant's perception of the declarant's internal state (including mental states, bodily conditions, feelings, motives, designs, and intentions) at the time the declarant makes the statement.

Outley v. City of New York, 837 F.2d 587, 591-594 (2d Cir. 1988) (holding, in an action against police officers for police brutality, that evidence to show plaintiff's grudge against white police officers to show that he had acted consistently with such grudge by filing the claim against the police...The prohibition against circumstantial use of character -- the use of character or disposition to show conduct on a particular occasion -- applies in trials of civil actions.