The Portuguese rues his side's failure to grab all three points from six yards out in the tournament opener, but insists he is satisfied by the performances of his players
The Ethniki fell behind courtesy of a goal by Robert Lewandowski, and shortly after had a player sent off, as Sokratis Papastathopoulos was given his marching orders for two yellow cards.
Nonetheless, they managed to fight back, grabbing an equaliser through substitute Dimitris Salpangidis, and even received a penalty, which Giorgos Karagounis, however, failed to make count.
"We had a golden chance to score a second and if we had managed that, the game would have been over. We didn't, but I'm very proud of my players," Fernando Santos said to reporters after the game.
"We wanted the win and went into the game determined to fight for it. But at the beginning we failed to find the answers to Poland's questions.
"Afterwards, though, we controlled the ball and created enough chances to score a goal."
Greece's next game in Group A sees them face the Czech Republic on June 12.