On Tuesday, Frankfurt's DAX index experienced a modest increase of 0.3%, surpassing the 24,200 mark as it aimed to conclude a three-day decline. This upturn was fueled by a cautious optimism regarding trade negotiations between the US and the EU. President Trump has signaled a willingness to engage in discussions with the EU and other trading partners, mentioning that EU officials are expected to visit the US for upcoming trade talks. The recent imposition of 30% tariffs on goods from Europe and Mexico, slated for implementation on August 1, is largely perceived as a tactical maneuver, designed to provide a negotiation window. Within the corporate sector, automotive, technology, and pharmaceutical stocks emerged as notable performers. Leading this charge, Sartorius rose by over 2.5%, with substantial gains also seen in companies like Porsche AG, Mercedes-Benz Group, BASF, Infineon Technologies, Merck, and BMW.