Broadly speaking, a company can have a Representative Office for liaisoning purposes, which does not engage in any business of its own, or a business undertaking abroad.
It can make an outbound investment under the Automatic Route, or the Approval Route for the necessary permission from Indian authorities.
It may use finance through Indian sources, that is, its own assets and reserves from Indian operations, Indian borrowings or issuance of shares in India, or it can use export proceeds, or it can use foreign borrowings, or raise money by way of equity abroad.
This presentation covers the available routes of raising finance and making investment abroad and the compliances required under Indian law (RBI, SEBI, FEMA, Companies Act) in detail.