My translated text is in [brackets]. I translated the text not based on what I wanted to say, but on how it probably sounded to Elena. 

Elena says: Hi Zina....
Elena says: DJ say me that speak with y yesterday
Zina says: come stai elena? [how are you elena?]
Elena says: bene grazie
Elena says: I'm very happy
Elena says: DJ say me that y happy if I go in america for holiday
Zina says: si...visit san diego
Elena says: in your house
Elena says: yeahhh bellissimooooo
Zina says: assolutamente [absolutely]
Elena says: I want learn a little english
Elena says: so I want go to england or america
Elena says: but if for y it's not a problem.....
Zina says: bene...devo imparare l'italiano [good, i must learn the italian]
Elena says: it's a problem for y?
Elena says: y sure???
Zina says: non � un problema! [not is a problem!]
Zina says: ho una moto supplementare...potremmo andare in moto [i have a supplemental moto...we can ride moto]
Elena says: allora I'm very happy
Elena says: nooooo it's fantastic!!!!!!
Zina says: mi eserciter� nell'italiano ogni giorno [me i will exercise of the italian each day]
Zina says: practicar� [i will practce]
Elena says: I want learn english... and I teach a italian
Zina says: ayyy...tanti parole! [ayyy...so many words!]
Elena says: yes
Zina says: bene, possiamo migliorare insieme le nostre lingue [good, we can better together our languages]
Elena says: yeah! bene
Elena says: for y which is the time better? I have the possibility in August...
Elena says: could it will ok for y? which period it's better for y?
Zina says: agosto � ok [august is ok]
Zina says: non faccio progettare vacanza [i not make to plan vacation]
Elena says: this year, finalmente we have a little stop, with race .. so I think august
Elena says: ah... ok
Zina says: qualunque settimana in agosto � ok [whichever week in august is ok]
Elena says: now I organize for the air and I see if it's possible, when, et all.... so I spoke with y
Zina says: una cosa... ho due cani... te molesta? [one thing...i have two dogs...it bother you?]
Zina says: non mordono! [they don't bite!]
Elena says: ahhhh I adore the animal.. and the dogs...but now I have a little fright... whne I have and attach from a dangerous dogs
Elena says: but it's ok.... I love the animal
Elena says: ok.... I update tomorrow or late when have more information, approtimativly I would like the first two week in august, bt for anythink problem say me.
Zina says: ok, no problem. sono eccitata circa la forzatura per imparare l'italiano in tre mesi [i am excited about the forcing to learn italian in three months]
Zina says: heh heh
Elena says: me too the english!!