Ministers are aiming to stimulate investment in small firms and startups.
The state-owned Russian Direct Investment Fund and CDC International Capital will invest in SMEs with business potential in both France and Russia.
The government will initially seek 100 EBRD shares for a minimum price of $1.2m in an attempt to boost the competitiveness of India-based businesses.
A draft bill aims to double the number of national security considerations that justify an investigation into foreign deals for US-based firms.
The measures include a new $3.3bn fund operated by state-owned investment agency British Business Bank to cover funding shortfalls should the EIF end UK loans come Brexit.