Debby was centered about 1,195 miles (1,925 kilometers) west of the Azores and moving north near 15 mph (24 kph).
There are now no coastal watches or warnings in effect.
Hector also posed no immediate threat to land, but forecasters said people in Hawaii should monitor the storm's progress as it was projected to pass just south of the islands by midweek. Debby is forecast to dissipate in a couple of days.
Hurricane Hector is tracking for a close call with Hawaii's Big Island, parts of which are still coping with destruction from the ongoing eruption of the Kilauea volcano.More news: Saudi suspends flights to Canada ahead of Hajj
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The National Weather Service says Hector is expected to pass roughly 150 miles south of the Big Island on Wednesday. The remnants of the tropical cyclone are likely producing an area of tropical-storm-force winds that should gradually decrease in intensity as it rotates around the northern and northwestern portion of John during the next few hours.
On the other side of the Pacific, Typhoon Shanshan is approaching Japan with maximum winds around 100 miles per hour.
Hurricane Hector, with 130 mph winds, is about 540 miles east-southeast of Hilo. Subtropical storms usually have winds that are spread out farther from the center, and they are often asymmetric. The Mayor's office has issued an emergency proclamation for Hawaii Island. Higher than usual tides will combine with the large surf to increase the threat of coastal inundation. Swells generated by John are expected to begin affecting the coast of southwestern Mexico during the next day or so.
Rain showers may be locally heavy at times, particularly over east to southeast around midnight, or sooner if conditions warrant.