Andrew M. answered 10/16/20
Master's Degree and History Teacher Experience
Between the individual Baltic states, no, there was no territorial disputes. Much of these territories had long been stablished, but were part of the Russian Empire. However, the Germans were able to postpone their withdrawal from the region with the Allies on the basis that the power vacuum would allow the Soviets to march right in. The Germans did not use its army for this purpose, and instead attacked Estonia, attempting to bring them under German influence. Not long after, the Soviets attacked Estonia. The Soviet Union saw the Baltics as their rightful claim as they had been part of the Russian Empire, and Lenin wanted to incorporate all former imperial territories into the Union.
The Soviets and Germans were defeated, and the Germans pulled out of the region. The Soviets would also attack Lithuania and Latvia, but were similarly unsuccessful. It wouldn't be until 1940 that the USSR would bring them back under Russian dominance.