Bengaluru-born 20-year-old Amoes has become the second player after Sampath Kutty Mani to join Mumbai FC from last season's I-League champions Bengaluru FC.
Manipuri Vashum brings with him invaluable experience in midfield. He has previously played for Churchill Brothers, East Bengal and Pune FC.
"It's an exciting city. I know there are a lot of football fans in the city and I look forward to seeing them at the Cooperage," said 26-year-old Vashum was quoted as saying in a media release.
Amoes was also delighted to have signed for the Mumbai team.
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"Mumbai FC is a fantastic opportunity for me to showcase my abilities. My aim is to learn as much as I can under the gaffer's guidance and prove my worth."
"This will be my first professional stint outside my city and I am really really looking forward to it," he added.
Team manager Henry Picardo said the two players would add meat to the Mumbai FC squad.