[1] More praise and distinction were gained by Beeckman in the War of the Spanish Succession the campaign to Cádiz, which, although unsuccessful, led to the triumph at Vigo in 1702, where a French squadron was destroyed and all the Spanish merchantmen lying there were burned or taken.

He also twice helped to relieve Gibraltar while it was under siege and played an honourable part in the destruction of several French ships under the command of de Pointis.

Beeckman's zeal and courage earned him command of the Prins Willem, a ship of 92 pieces, with which he collaborated in the Mediterranean Sea during the war of succession to the attack against Toulon, helped disperse an enemy convoy and conquer the islands of Sardinia and Minorca.

Twice, in 1706 and 1709, he commanded a squadron of eight ships to protect the East Indies Return Fleet of the VOC, with no higher rank than that of captain.

After having been overlooked for long, he finally obtained the rank of Schout-bij-nacht, but he died shortly after his promotion in 1716.