The extent of Domnall's rule in the kingdom is unknown, and it is questionable whether he had any real authority in the northern Hebrides, furthest from Mann.
In about 1097, Magnús Óláfsson, King of Norway sent a delegate named Ingimundr into the Isles to take possession of the kingdom.
After installing himself on Lewis, Ingimundr was overthrown and killed whilst attempting to usurp the kingship.
Ingimundr's rationale for seating himself upon an island on the edge of the kingdom may have been due to the fact that he was unable to gain any authority on Mann itself.
In fact, the chronicle reveals that civil war erupted there the following year, and the chronicler Orderic Vitalis indicates that Mann was devastated to point of being a virtual desert by the time Magnús appeared on the scene.
The warring itself may have been related to the aforesaid factional struggles between Gofraid's sons.
Although it is possible that it was Magnús who actually forced Domnall from the Isles, the fact the chronicle makes no mention of Domnall during the recorded conflict on Mann may be evidence that he had lost control of the island by then.

Within the year, Magnús himself arrived in the Isles, captured Lagmann, and conquered the kingdom.
After overwintering in region, the Norwegian king left for Scandinavia in the summer, only to make his return nearly four years later, in 1102 or 1103.
Once re-established on Mann, Magnús may well have seized control of Dublin before entering into an alliance with Muirchertach, formalised through the marriage between Magnús's young son, Sigurðr, and Muirchertach's daughter, Bjaðmunjo.
The arrangement seems to reveal that Magnús intended for Sigurðr to rule over his recently-won territories.
Although it may have also meant that Norwegian sovereignty in the Isles was recognised by the Irish, it is also possible that Muirchertach intended to exert his own influence into the region through his new son-in-law.
Unfortunately for Muirchertach, and his long-term ambitions in Ireland and the Isles, Magnús was slain in Ulster in 1103, whereupon Sigurðr immediately repudiated his bride and returned to Norway.
Although Muirchertach was able to regain control of Dublin, and still held considerable influence in the Isles, Magnús' death appears to have left a power vacuum in the region that he was unable to fill.
The extent of Domnall's rule in the kingdom is unknown, and it is questionable whether he had any real authority in the northern Hebrides, furthest from Mann. In about 1097, Magnús Óláfsson, King of Norway sent a delegate named Ingimundr into the Isles to take possession of the kingdom. After installing himself on Lewis, Ingimundr was overthrown and killed whilst attempting to usurp the kingship. Ingimundr's rationale for seating himself upon an island on the edge of the kingdom may have been due to the fact that he was unable to gain any authority on Mann itself. In fact, the chronicle reveals that civil war erupted there the following year, and the chronicler Orderic Vitalis indicates that Mann was devastated to point of being a virtual desert by the time Magnús appeared on the scene. The warring itself may have been related to the aforesaid factional struggles between Gofraid's sons. Although it is possible that it was Magnús who actually forced Domnall from the Isles, the fact the chronicle makes no mention of Domnall during the recorded conflict on Mann may be evidence that he had lost control of the island by then.
Within the year, Magnús himself arrived in the Isles, captured Lagmann, and conquered the kingdom. After overwintering in region, the Norwegian king left for Scandinavia in the summer, only to make his return nearly four years later, in 1102 or 1103. Once re-established on Mann, Magnús may well have seized control of Dublin before entering into an alliance with Muirchertach, formalised through the marriage between Magnús's young son, Sigurðr, and Muirchertach's daughter, Bjaðmunjo. The arrangement seems to reveal that Magnús intended for Sigurðr to rule over his recently-won territories. Although it may have also meant that Norwegian sovereignty in the Isles was recognised by the Irish, it is also possible that Muirchertach intended to exert his own influence into the region through his new son-in-law. Unfortunately for Muirchertach, and his long-term ambitions in Ireland and the Isles, Magnús was slain in Ulster in 1103, whereupon Sigurðr immediately repudiated his bride and returned to Norway. Although Muirchertach was able to regain control of Dublin, and still held considerable influence in the Isles, Magnús' death appears to have left a power vacuum in the region that he was unable to fill.
Domnall mac Taidc