You can take a look at my paper (coauthored) on Stock Market Asset Pricing for Emerging India's Stock Markets on my RG page. It does not deal with Savings, Investment and Growth at the Macroeconomic level but it deals with these variables in Stock Markets with structural shocks like Emerging Markets regime and impact of monetary policy. So it is you may say at an intermediate level of aggregation. SKM
Hi! You might have a look at "Iwasaki, I. and Tokunaga, M. (2014). Macroeconomic Impacts of FDI in Transition Economies: A Meta-Analysis. – World Development, Vol. 61, p. 53–69." which presents a meta analysis of papers studying the relationship between FDI and growth. Probably it will direct you to other relevant references.
Sarah, Razack and Basavanagowda, T. and Indumathi, S. (2015) Savings, investment and growth in India: An Empirical analysis. International Journal of Social and Economic Research, 5 (1). pp. 231-242. ISSN 2249-6270.