Yes, there are similarities between Calvinism and Arminianism and the biggest similarity is that that these two systems which explain and translate the Holy Bible's account of salvation. Both Calvinism and Arminianism base their system of beliefs on the word of Bible, but both have different interpretations.

Jacobus Arminius

The religious doctrines or tenets of the Arminians.

An Arminian is a person who follows the religious philosophy founded by Dutch theologian Jacobus Arminius.

The similarities in Calvinism and Arminianism include that they both break down and decipher salvation as it is relayed in the Holy Bible. Arminianism and Calvinism both discuss beliefs of grace, free will, atonement, perseverance of Saints, and how one who practices Christianity can become saved in the eyes of God.