without...干什么成分

We spent more than three hours in discussion without reaching any agreement.

请问without reaching any agreement 在句子中是充当什么成分的？

We spent more than three hours in discussion without reaching any agreement.

请问without reaching any agreement 在句子中是充当什么成分的？

介词短语 without reaching any agreement 作“方法状语或结果状语”，均可。即：在没达成任何协议的状况下而花费...。不可能是 discussion 的定语。