Lolli Attack

LOL

5.Na5 Morphy line is a solid response for Black.  For those who are very sharp and are also well versed in the theory, there's the Traxler Counterattack / Wilkes Barre variation 4.Bc5!?

But how to coordinate the continuing attack? Black's pieces are all developed except his rooks and white's are still sleeping on the home rank. Looking at the position for a few minutes I think I'd rather play black in that position. That said the fried liver and lolli are why I play 3. bc5  trying to invite the ruy lopez or italian game instead of 3. Nf3.

that;s why it's called the "LOL"ie attack

this's like the lollipop attack isn't it ? ppl - don't do this at home.

You don't "invite" the Spanish when you're already in the Italian Game.  The Italian begins when White plays 3.Bc4.  The Spanish on the other hand, begins with White's 3.Bb5.  White is not likely to transpose into the Spanish while in the Italian, or vice versa, since the intent of Spanish or Italian is already made by move 3. Here's what generally happens:

The Two Knights Defense is one of many responses Black has against the Italian, and in response, White has the optional 4.Ng5, leading into the Fried Liver or Lolli Attacks, both of which can be avoided retroactively or proactively by Black of course.

Black playing your preferred 3.Bc5, moves into the Giuoco Piano, and White would play 4.c3 intending his 5.d4 pawn push, and leading to the Greco lines, possibly the Moller Attack (9.d5) to avoid Black's 9.d5.  White's other options against Giuoco Piano are 4.b4 to move into the Evans Gambit, or 4.d3 to play the slow developing Giuoco Pianissimo.

In the Spanish (3.Bb5), Black typically plays 3.a6, and White falls back with 4.Ba4, which Black follows with either: Morphy Defense (4.Nf6), Caro variation (4.b4), or Modern Steinitz variations (4.d6). Sometimes you'll see the "Fishing Pole" trap (4.Ng4), intending to open up the h-file for an aggressive attack on the White king.  Other than the Fishing Pole, Black also has the Marshal Gambit, Noah's Arch, etc.

The first fork in the road for Black against the Spanish is whether or not he plays 3.a6.  If not 3.a6, Black plays the Berlin Defense (3.Nf6), possibly leading to the Open (4.Nxe4) or Closed (4.d6) subvariations, or even leading into the Arkhangelsk Variation. 

In short, you haven't invited the Italian Game when you were already in it, and you won't invite the Spanish when White has already established the Italian game plan by the 3rd move.