Mr Zebari told the BBC's Arabic Service that Iraq was ready to talk about the activities of the PKK in northern Iraq, and other matters of concern to Turkey.
"We are open to dealing with these positively," he said, "but not via an intensive and large-scale bombardment of border areas."
Iraq says the cross-border attacks have caused widespread damage, and undermined relations between the two countries.
"We are against any military interventions or violations of borders or the regional security, and all issues are negotiable and can be resolved through dialogue," Mr Zebari added.
Turkey has not confirmed any cross-border shelling but it has been building up forces along the border with Iraq.
Speculation grows that Ankara could mount a raid in Iraq on PKK rebels sheltering there who it blames for recent attacks in Turkey.
Last Mod: 10 Haziran 2007, 18:03