Remote pacific site of the naval clash between the U.S. and Germany 1889?

Samoa

From Wikipedia.com:

Increasing German commercial enterprises in the area saw U.S. interests begin operations at the Excellent harbor of Pago Pago on Tutuila in 1877.

Tensions caused in part by the three separate interest groups led to the Samoan Civil Wars. After the second Samoan civil war there was no longer any pretense whereby Samoans could govern themselves and the islands were divided in 1899 by the three involved powers. The Tripartite Convention gave control of the islands west of 171 degrees west longitude to Germany, the eastern islands to the United States (present-dayAmerican Samoa) and Great Britain to be compensated with other territories in the Pacific and West Africa.