The regional development minister has been urged to work with the Irish Government to maximise the funding available for EU projects, on 27 November 2012.
Sinn Fein's Sean Lynch said Danny Kennedy needed to "push very hard" to make sure that Northern Ireland was not left out of decision-making.
"We should not allow monies, which we believe can be sought from Europe over the next period, to go to Eastern Europe," he said.
Stewart Dickson of Alliance proposed his party's amendment which sought to widen the motion's scope by asking the minister to work with his counterparts in Great Britain as well as those in Ireland in order to seek the maximum amount of funding available for transport.
"It demands we pursue co-operation and investment and enables us to send a united message out," he said.
The SDLP's John Dallat presented his party's amendment to the assembly.
It sought to encourage Mr Kennedy and the Irish Government to work with the North South Ministerial Council to co-ordinate aspects of the EU cross-border transport programmes.
Ian McCrea of the DUP said he believed the original motion was "very short-sighted" and therefore welcomed the Alliance Party amendment.
Ulster Unionist Sandra Overend said she believed the motion was premature and said she was aware the motion had been withdrawn a few weeks previously.
She said a "pre-identified projects list", as referred to in the original motion, had not confirmed any projects in Northern Ireland and therefore her party would only support the Alliance amendment.
The second part of the debate can be viewed