The phrase "agree on a statement" is correct and usable in written English.
It can be used when discussing consensus or mutual understanding regarding a particular assertion or declaration.
Example: "After much discussion, we were finally able to agree on a statement that reflected our shared values."
Alternatives: "reach a consensus on a statement" or "come to an agreement on a statement".
On this basis we will agree on a statement".
But they recessed Aug. 7 because the parties could not agree on a statement of principles.
This week the Security Council could not even agree on a statement criticising the verdict on Miss Suu Kyi.
The waste is so crushing that the Quartet, meeting this week in Washington, was unable even to agree on a statement.
A senior American official said the negotiators were trying to agree on a statement of about six or seven broad principles.
China insisted that the United States, Japan and South Korea agree on a statement before a second round of talks with North Korea.
The United Nations, at its core, has this value (think of the Universal Declaration of Human Rights, passed in 1948, which was motivated by the experiences of the preceding world wars; it was the first time that countries agreed on a comprehensive statement of inalienable human rights).
After hours of negotiations, leaders agreed on a statement calling for "an early resolution of this problem, including the release of the 15 personnel".
He and I agreed on a statement that, by mutual consent of the poet and the English department, his reading would not take place.
UNITED NATIONS -- Key Security Council members have agreed on a statement, presented to the council on Thursday, that condemns the sinking of a South Korean warship that left 46 sailors dead, but avoids singling out North Korea for the attack.
Participants agreed on a statement pointing out the disruption caused by fossil fuel use and calling for cooperative, collective action to curb greenhouse gas emissions.
