The match was halted on Sunday with third seed Cuevas trailing 7-6(3) 3-3. The final was due to restart on Monday at noon local time (1500 GMT) but it was past 6pm (2100 GMT) before the persistent rain relented and the contest could restart.
When it did, the world No. 33 quickly took control, winning the second set 6-4 and then taking the third by the same score against the second-seeded Spaniard who is ranked 24th.
The final took almost three hours to complete and the victory gave Cuevas his sixth career title.
(Reporting by Andrew Downie; Editing by Ken Ferris)
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