This paper is set to investigate the existence of spillover effects for the trading process of correlated financial instruments. While the main literature in price impact models has focused mainly on multivariate processes for a unique asset, we argue that transitory spillover effects in such class of models should exist as a simple biproduct of explicit relationships among prices of different (but correlated) financial instruments. Firstly we assess the theoretical implications of a transitory spillover effect in an extended microstructure model and then we investigate our different hypothesis in the European bond market with a formal econometric model. The results showed that the estimated parameters of the econometric models do conform to what we expect in the theoretical derivations, where the trades of one instrument would be correlated to the trades in others. But, even though the results are positive, they could also be explained by traders splitting orders across different instruments or joint periods of intensive trading. Further analysis also showed that the trading intensity in other instruments does affect the trading process of the particular bonds. We found that a buy (sell) order is less likely to be followed by a buy (sell) order if the market is trading intensively. We explain such effect as an inventory problem, where volatility of prices forces market makers to improve trades in the opposite direction from the current order flow. The main conclusion of this study is that we find inconclusive results towards the particular microstructure model set in the theoretical part of the paper, but positive results for a general spillover effect in the trading process of European fixed income instruments.