We examine the FDI versus exports decision of a multiproduct multinational firm which supplies vertically differentiated products, and show that the proximity‐concentration trade‐off can generate FDI‐export coexistence, i.e., the firm supplies the low‐quality products through FDI and the high‐quality products through exports. We also show that the opposite can never happen. Moreover, when the multiproduct multinational firm faces price competition in the target markets, it has an incentive to use trade costs to soften price competition, which can reduce its FDI incentive.