Alix and Berti payed an "unofficial" visit to Vienna via a tour of Egypt in 1869.
"Queen Alexandra" Georgina Battiscombe page 97, 102-103
"After a family Christmas spent at Fredensborg came a tearful parting from the three children, who were to travel back to England from Hamburg whilst their parents went on to Berlin. Here the Princess met Bismarck for the first time and here too, not altogether surprinsingly, she suffered some rudeness from the Prussian Queen. King William, however, admitted to finding her charming.
After a journey of twenty-four hours with the thermometer registering twelve degrees of frost, the Princess stepped out of the train at Vienna looking exquisitely fresh, to be greeted by the Emperor Francis Joseph and a galaxy of princes, archdukes and ambassadors. This was not at all the quiet welcome wich the Prince and Princess had expected but they soon discovered how impossible it was for any royal personages to pay an "unofficial" visit to Vienna. Court mourning had caused the abandonment of some functions but even so formal dinners and parties followed each other in an endless stream. By custom a visit had to be paid to every memeber of the Imperial Family resident in Vienna; as there were at that time twenty-seven archdukes living in or near the city, not to mention smaller fry, this in itself was a considerable undertaking. More to the Princess's taste were the skating parties, the ballet perfomances, a concert at which Johann Strauss conducted his own waltzes and a tour of Imperial stables housing the five hundred horses which were the special interest of the Empress Elisabeth. On this journey the Princess met for the first time the two Empresses, Eugénie and Elisabeth, who were her friendly rivals for the palm of beauty. With the intellectual and melancholic Elizabeth she had very little in common beyond a love of horsfor beautiful clothes; on one occasion the Empress was heard to remark that of all European royalties only the Princess and herself really knew how to dress. As far as looks were concerned only one fault could be found with these two beautiful women; both Empress and Princess were too thin for nineteenth-century taste.
During this Austrian visit the grace and gaiety of the English royal couple stood out in favourable contrast to the stiffness of the Imperial Court.
They were not sorry to escape from this formality to the freedom of life on board the frigate H.M.S. ARIADNE, which took them from Trieste to Alexandria."