Børresen was born in Fredrikstad, and as a kid he played for the local team Kvik.
He joined Fredrikstad FK youth department in 1924, and in 1927 he made a breakthrough in the first team, alongside Sten Moe and Karl Pedersen.
In 1932, Fredrikstad won their first Norwegian Cup[1] with Børresen scoring the first goal in the 6–1 win against Ørn in the final.
[3] This was also the match where his teammates Sten Moe and Karl Pedersen made their national team debut.
He featured regularly in the national team matches in 1933 and 1934, but was not elected for the squad to play at Berlin Olympics.