Mr Aysen, who was born on 16 July 1937 in Kimberley, was a Griquas stalwart who played his club rugby for Arabian College RFC and was selected for the SARU team in 1961, but he also received national recognition on the cricket field and played provincial soccer.
He captained Arabian College from 1961 to 1970 and played a total of 106 games for Griquas from 1958 to 1971.
"I think it's fair to say Alwie was one of the most versatile sportsmen of his generation - only a handful of people have received national colours in rugby and cricket and for him, it was well deserved," said Mr Alexander.
"Unfortunately Alwie played at the highest level when a large part of the South African population were not given the recognition they deserved, and he should be more well-known in our country.
"Despite these challenges, he always gave his best to his team, played with grace and humbleness. Stories of his elegance, athleticism kicking prowess have been retold over generations.
"After he hung up his boots, Alwie gave back to sport as a selector, coach and administrator at club and provincial level in his beloved Kimberley, where he served on the municipality, and he was also a role model for later generations.
"Alwie was a principled and loyal man - to his family, his friends, his club and his province, and he made a big contribution to his community as well. Our sincere condolences to the Aysen family, all his loved ones and friends, may you find comfort in the memories of a man who made a difference, and ay Allah grant him Jannatul Firdaus."