The Nerazzurri failed with an £14 million bid to land the teenager earlier this year but have still not given up hope of bringing the Brazil international to San Siro
Manchester United and Real Madrid are also keen on the Brazil international, but Goal.com has already learned that the Premier League giants have been put off by the Tricolor Paulista's €38 million (£30m) asking price.
Moratti recently stated that Inter have no intention of giving up on their "dream" of signing Lucas and while he acknowledged that the Nerazzurri face stiff competition for the player's signature, his stance hasn't changed.
"Let's see, let's see ... There is an auction that seems challenging, but Inter are [in] there," the 67-year-old told reporters in Milan on Monday evening.
"But I'd prefer to see something done right or not at all."
Inter reportedly tried to sign Lucas, who has been capped 15 times by the Selecao, in June but had an €18m (£14m) offer rejected by Sao Paulo.