The first is summarised by the current account and the second by the capital account; the two by definition have to add to zero. Attention is invariably concentrated on the current account rather than the capital account, and especially when the current account is in deficit. Why should we assume that the deficits are the problem?
Why not assume that the surpluses are the problem? I think the answer is that there is a belief that current account deficits are unsustainable, whereas surpluses could go on forever. This was a reasonable assumption for most of the post-war period, particularly under the Bretton Woods system, but may no longer be so.