The Afghan government has sent NATO headquarters a draft agreement that would give Afghanistan more control over future NATO deployments in the country — including the positioning of some U.S. troops, officials said Tuesday.

The draft technical agreement would put into place rules of conduct for NATO-led troops in Afghanistan and the number of additional NATO troops and their location would have to be approved by the Afghan government.

The agreement — an attempt by Afghanistan to gain more control over international military operations — would also prohibit NATO troops from conducting any searches of Afghan homes, according to a copy of the draft obtained by The Associated Press.

Afghan President Hamid Karzai, who met with Gen. David Petraeus on Tuesday and discussed how to prevent civilian deaths and the role of Afghan forces in U.S. missions, told legislators that his government sent the draft agreement to NATO about two weeks ago. As the head of U.S. Central Command, Petraeus oversees the wars in Iraq and Afghanistan.

Addressing parliament at its opening session, a frustrated Karzai said the U.S. and other Western military allies have not heeded his calls to stop airstrikes in civilian areas in Afghanistan. He warned that the fight against militants cannot be won without popular support from Afghans.