The Zaragoza forward insists that despite defeat at the hands of tournament favourites Spain, his team-mates can return to their homeland with their heads held high
Cesc Fabregas scored the winning spot kick to dump the Seleccao out of the tournament at the penultimate hurdle, after Bruno Alves saw his attempt rattle the crossbar.
The 29-year-old striker, who missed the match due to injury, feels their failure should not deflate spirits back home, as his side can now build on their experience in Poland and Ukraine.
"Portugal demonstrated a great desire to win but unfortunately the match was decided on penalties." Postiga told reporters.
"We didn't have the luck of previous competitions but we have to keep our heads held high because the players gave their all on the field and brought honour to Portugal."
"This result and the campaign should make the Portuguese proud.
"Now it is time to carry on working, it's time to recover and start thinking about the next challenge."