Partnership firm with foreign national person

A foreign national can't be a partner in a partnership firm without govt. approval or if the business is in sectors restricted for FDI. Since you mentioned 'FDI involves 2. No contribution froma foreign national", it implies the foreign national is n't contributing capital, but regulations might still apply based on the country's laws. 

You'd typically need to check the country's FDI policy for partnership firms. 

LLP documents required; LLP Agreement, Incororation documents  (like Form LLP-1 in India), Details of partners (including foreign nationals if applicable), like their consent and identification documents.