Eduardo has said he does not remember seeing Taylor in the wake of his horror injury last month and had not had an apology.
But Taylor told the Mirror: "I went to see him on the Saturday but he was still recovering from an operation so first thing on Sunday morning I went to the hospital again and it was really good of him to see me. He didn't have to do that.
"I heard Tony McCoy (the jockey) talking on the radio about injuries in horse racing and he said the worst moment is waking up after the operation because that is when the drugs are wearing off and reality hits.
"I was mindful of this. I thought maybe he (Eduardo) wouldn't want to see me, which would have been fair enough.
But he saw me, which was really kind. Although there was a language barrier I just said I had not meant him any harm and that I hoped he made a quick recovery.
"He took it on board and nodded. He is obviously a really strong man. Since then I have read that he would be happy for me to visit him again. It's something I'd like to do."