The former Barcelona president - who reigned at Camp Nou between 2003 and 2010 - worked closely with current City sporting director Begiristain, and that's the reason behind the pair's recent meeting in the English capital.
"I did meet with [Begiristain and Neymar's father] because I know them both well," Laporta told Catalunya Radio. "I was in London and I know football people.
"Txiki was also in London and there were about 15 people in total at the dinner and Neymar's father was also there."
Neymar is currently one of the hottest properties in world football at the moment, with a host of top European clubs currently scrapping to secure the Santos sensation's signature.
Manchester City manager Roberto Mancini has been credited with an interest in bringing the Brazilian to the Etihad Stadium, and the Spanish media believe that the reigning Premier League champions could be looking to move ahead of the pack with early talks.
However, Laporta has distanced himself from having any link with the Citizens, and revealed his preference for the 20-year-old forward would be a transfer to former club Barcelona.
"My dream is to see Neymar playing for FC Barcelona like Ronaldinho, Romario, Rivaldo and Ronaldo did in the past," he added. "Neymar's father is nervous because every big club in Europe want his son and that is stressful.
"But when I saw him he comes across as a quiet man who is trying to stay calm and do the best for his son.
"Still, I was quite shocked to read that people thought I was there as agent for another club. I am not an agent I am a lawyer.
"I earn my wages doing something else, not as an agent and, as I say, it would be great to see Neymar at Barcelona."