Businesses today have more than ever a sharp focus on reducing capital and operational expenses. Business Process Outsourcing (BPO), Knowledge Process Outsourcing (KPO) and adoption of shared service models have all increased on a global scale. This results in an emerging complexity and volatility of business relationships. As the future internet of services evolves towards dynamic "service marketplaces", where shared services are discovered, negotiated and choreographed at run-time, the new approaches to the compliance management in complex environments are needed. We argue that one of the key issues to address is trust. This paper describes the compliance management models in emerging outsourcing environments that include use of shared services such as cloud computing services. In this context, we briefly present MASTER project that, among other things, integrates several mechanisms to increase the trust levels among stakeholders. Finally, we present a solution for the automated evidence collection at the service provider site and discuss related trust issues.