A testimony given by Cardinal Dom Serafim Fernandes de Araújo in 2006 details the extraordinary event that led to Father Eustáquio being recognized as Blessed. The miracle was the cure of throat cancer that Father Gonçalo Belém Rocha had.
Read Dom Serafim's testimony in full:
“And the miracle of the beatification? God sent it in the form of affection and tenderness. One Thursday morning, Father Gonçalo Belém Rocha asked Dom João and me to receive him at the Cristo Rei Palace. He had something important to tell us. We received him without knowing the nature of what had happened. He came to say goodbye to us, as he had been diagnosed with throat cancer. He was to have surgery on Monday and would probably never speak again, due to possible complications from the malignancy of the tumor. We were distraught. Father Gonçalo Belém wept, and we both wept with our friend and son. That's how we said goodbye. Dom João looked at me, I looked at Dom João, and an inspiration came to me. I said: “Dom João, let's go up to the Chapel and expressly and fervently ask God, through the intercession of Father Eustáquio, to heal Father Belém.” We spent a few minutes praying. And we placed that priest in the heart of God, through the hands of Father Eustáquio. During the operation on Monday, when Father Belém was taken to the operating room, something unthinkable had happened. The doctors exchanged glances, but the X-ray confirmed: “there was nothing to be removed.” Someone had arrived first! And there is Father Belém, safe and sound, a living votive offering of God's miracle!”
Cardinal Dom Serafim Fernandes de Araújo