Mattis's visit, his first as Pentagon chief, comes amid regional strains over the Yemen conflict and a diplomatic rift between Qatar and a bloc of countries led by Saudi Arabia.
"The unity of the (Gulf Cooperation Council) has been strained, to put it mildly, so I am also wanting to hear what the sultan says can be done about that, as well as the situation on his border in Yemen with the various factions that are fighting there and certainly the civil war," Mattis told reporters accompanying him on the trip.
Qaboos, an elusive figure who is the longest-serving ruler in the Arab world, has kept a low profile on regional disputes, and has carved out a niche for Oman as a diplomatic back-channel, notably between the West and Iran.
Under Qaboos, Oman has maintained good ties with countries outside the six-country Gulf Cooperation Council bloc to which it belongs, including neighbouring Yemen.
In March 2015, the sultanate was the only GCC country not to join the Saudi-led coalition air war on Iran-backed Shiite rebels in Yemen, but also maintained solid relations with Riyadh.
Mattis is also slated to meet with Oman's defence minister Monday and other senior Omani officials.
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