Roger Federer, seeded second to Nadal, also was not detained for long as he defeated Ukrainian qualifier Alexandr Dolgopolov 6-4, 6-2.
Dimitrov, ranked eighth in the world, had break point early in the third set, but Nadal saved it with a backhand volley before winning three consecutive games.
Here, Dimitrov extended their quarterfinal to a third set when he rebounded from a 4-2 deficit to win the second-set tiebreaker.
Dimitrov sensed another opportunity in the fifth game of the third set, but Nadal survived the break point.
"It was a very tough match", Nadal said. "Of course, being able to win the US Open, Beijing, and being in the semi-finals here ... But I think he's still very young and he needs to keep learning, as he's doing now", said the Argentine, 23 in the world.
Fognini was playing the day after being handed a suspended ban from two grand slams and $96,000 (A$123,000) fine for verbally abusing a female umpire at the US Open.
North Korea hackers steal South Korea war plans
North Korean hackers were the prime suspects in the attack, the impact of which may have been exaggerated for propaganda purposes. However, the South Korean defence ministry has refused to comment about this allegation.
Goldman Sachs Considering Bitcoin Trading
Large banks like Goldman Sachs have until now avoided trading in bitcoin due to its reputation as a conduit for illicit activity. It increased, as 96 investors sold GS shares while 350 reduced holdings. (The) in a report on Friday, July 21st.
Erdogan visits Iran as ties warm amid shared fears
Military and civilian officials appear concerned about the outcome of the Kurdish referendum held in Iraq on September 25. In meeting, Chief of Staff General Hulusi Akar, who previously came to Iran to make contacts, was also present.
Budget 2018 - What You Need To Know
There will be a €2.50 increase in the Telephone Support Allowance for those receiving the Living Alone and Fuel allowances. Some social welfare payments are expected to rise by €5 per week, including the State Pension and Lone Parents Allowance.