Offshore software development model is one of the most successful development models being adopted by different worldwide organizations. The main reason behind the offshore development is the higher cost of the software development in the local industry. So the organizations take the projects from the local industry and send their projects to their offshore offices where development cost is significantly lower. In countries like Pakistan, India, Sri Lanka and Philippines etc, most of the software companies are working as offshore development offices. These software companies are using different software development methodologies like Waterfall, Spiral, Iterative, Incremental and Agile. The projects developed by these software companies face time, cost and quality constraints because of opting inappropriate software development lifecycles. A detailed study is conducted by gathering data from different offshore software companies in Pakistan and then based upon this data their common problems are identified. The major problems faced by the software companies in Pakistan include non static and ambiguous nature of requirements which cause the software developers to make certain assumptions. There is no direct interaction between the software developers and the clients, so the product developed is not an exact match of the client requirements and expectations. These issues are major bottleneck in delivering the quality software products in case of offshore development in Pakistan. We propose a new process model that addresses the needs of the onshore/offshore software development industry.