Using firm‐level data, this paper examines the effects of foreign investment on the exporting behaviour of domestic firms in the Vietnamese manufacturing and service sectors. Applying the Heckman selection model on panel data and following the Wooldridge approach, we find that investment by foreign firms has a significant positive effect on the decision of domestic firms in the same and upstream sectors to export. The proportion of exports of domestic firms declines through horizontal and forward linkages, but increases through backward linkages in the manufacturing sector. However, there is only weak evidence in support of export spillovers on domestic firms in the service sector. We also find that the presence of foreign firms has differing effects on the exporting activities of low‐ versus high‐tech firms in the manufacturing sector.