A very broad question. Holding companies are under attack currently with several countries passing general anti-avoidance regulations (GAAR) so it is important to provide substance to your holding company. For the Far East and the EU, Singapore (SG) may be a good choice. It has a stable government and treaty network. In many cases a US company will establish a Singapore entity with check-the-box entities in the EU and other countries including IN, CN, AU,etc.

I have seen SG holding companiies (with Pioneer Status) best used as a contract manufacturer dealing with China (CN) 3rd part manufacturers and selling to Check-the-box (CTB) entities. There is substance in the SG company which is a contract manufacturer and no subpart F income on sales to related CTB entities.