Her first serve, while consistent (she got 71 per cent in), didn't have enough venom to worry Vinci and she was broken five times in the match.
On top of that, Erakovic also admitted she needs to deal with the occasion better.
"It was a tough one for me today," she said. "Roberta played very well. She's a tricky player on grass, has a very good slice and was serving very well. She played better [than me] today. It's a bit disappointing. I have to look at it and learn from it and move on.
"It's more learning to deal with the second rounds and third rounds at a grand slam. I felt as though I have a good enough game to play well against anyone but it's just a matter of bringing it out on match day at a special occasion like Wimbledon, just controlling nerves. The more times I get into these situations, the better I will deal with them.
"[The mental side is] definitely a huge part. I wouldn't say it all comes down to that. For every player the nerves and mental aspect is huge, not just me. Everyone deals with it in different ways. I still have a lot more learning to do to get to that high level that some players are at at the moment. I'm sure the top 10 players deal with it much better."
Erakovic will return to singles action at Wimbledon for next month's Olympics.
Her second round doubles clash is late tonight.
"I feel we are capable of doing really well," Erakovic said. "I don't like to compare things to the year before but we play well on grass and today we played a good match. We just have to keep at it."