The Irish Government has vowed to continue to pressure a reluctant Britain for a public inquiry into the murder of solicitor Pat Finucane.
"The murder of Pat Finucane was one of a number of cases which gave rise to allegations of collusion by the security forces," Mr Kenny said.
"The British and Irish governments agreed in 2001 to appoint a judge of international standing to investigate these cases and, in the event that a public inquiry was recommended in any case, to implement that recommendation."
Mr Kenny and Mr Cameron spoke before his statement to the Commons as the De Silva report was being published and agreed to discuss the issue further.
Mr Kenny said he repeated the Irish Government's unwavering position to Mr Cameron.
"It is a matter of public record that the Irish Government disagrees strongly with the decision by the British government last year not to conduct a public inquiry into the murder of Pat Finucane," Mr Kenny said.
"The Government's position has consistently been in accordance with the all-party motion adopted in the Dail (Irish parliament) in 2006 which called for a full, independent, public inquiry.
"That position is unchanged."
Mr Kenny said he would reflect carefully over the report, commissioned by the British government, which highlighted what Mr Cameron described as shocking levels of collusion.