If I'm understanding the request correctly, yes, you should be able to combine the two via a dual axis map. You can do that by duplicating the Latitude field on the Rows shelf and selecting "dual axis". Then you set one of the pills as "Pie" and the other as "Filled Map". I'm attaching an example.
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DMA Map and Pie Chart Example.twbx 492.4 KB
Thank you for your help, but I am unable to open your example workbook because newer version of Tableau. I am still using Tableau 10.1 can you please send me that workbook again but only this time in Tableau 10.1 form please.
I like this link but it not help when it come to Polygon Map and Pie Chart