Senior U.S. officials in Baghdad weighing back-channel messages from Iran condemning the recent bloodshed

In the WSJ, here

"...The officials declined to identify the Iraqi go-betweens, but Iran previously has sent messages to the U.S. through Iraqi President Jalal Talabani, a Kurd, and Abdul-Aziz al-Hakim, who heads Iraq's largest Shiite political party.

....People familiar with the communications said the Iranian officials expressed alarm at the bloody fighting last month between Iraqi government forces and Shiite militants loyal to nationalist cleric Moqtada al-Sadr.

.....The Iranians also told the U.S. they weren't in control of the Shiite fighters, these people said...."