"We have made progress and if the discussions continue like this, there is a possibility that we will reach a solution that satisfies both parties," senior negotiator Hossen Mousavian told state television.
He said that agreement had been reached on certain points, without specifying which.
Representatives from Britain, France and Germany are meeting in Paris for the latest round of talks aimed at convincing Iran to suspend all uranium enrichment activities in order to avert the threat of UN sanctions.
The United States accuses Iran of secretly trying to develop nuclear weapons under cover of its civilian atomic energy program, a charge vehemently denied by Tehran.