Evlambios’s name day is October 10, the feast of Eulampios and Eulampia.
Churches that follow the Old (Julian) Calendar keep the same feast on October 23 of the civil calendar. See everything commemorated on October 10.
The saint behind the name

Eulampios and Eulampia
October 10, Martyr, Ευλάμπιος
Saints Eulampios and Eulampia were brother and sister, Christians of Nicomedia during the persecution under the Emperor Maximian at the beginning of the fourth century. When Eulampios was seized and tortured for confessing Christ, his sister Eulampia openly declared her own faith so that she might share his sufferings, and together they endured torment and received the crown of martyrdom.
Name days: Evlambios
What to say on a name day
The Greek wish is Χρόνια Πολλά (Chronia Polla), “many years.” A call or a short message on the day is what people remember. See name day wishes you can send and what a name day is.