In Internet networks, monitoring is necessary to guarantee the performance of the services. In this paper, we review the state-of-the-art monitoring architectures proposed for multi-domain networks. We note that these architectures do not support measurement configuration that enables the providers to perform flexible multi-domain measurements. Therefore, we present our proposal for the configuration of the multi-domain network monitoring architecture in order to give more flexibility in network monitoring and solve the heterogeneity and interoperability problems. We also present our collaboration schemes that can be applied in our configurable monitoring architecture. These collaboration schemes, based on the proactive selection and reactive selection, are used to select the measurement points that participate in the multi-domain monitoring and configure the parameters of the measurement points selected. We show through extensive simulations that the proactive collaboration scheme provides a more flexible multi-domain monitoring and reduces the delay and the overload of the monitoring establishment.