The Chelsea boss has won Serie A as a player and manager with Juventus, so can share his experience with his players.
"I was very pleased to see him yesterday [at Chelsea's training ground] in Cobham, to stay together and chat", Conte said.
Wednesday's 2-1 victory over Manchester City extended Costa's current barren streak to four matches - during which time he has also received three yellow cards - but Conte is adamant that his striker is playing a key role in Chelsea's march towards the Premier League title.
Conte, who tasted success as Juventus coach before taking charge of Italy, is mooted as a target for the Nerazzurri, who are willing to hand him a substantial amount of transfer funds in order to restore the club to former glories.
"I read this interview about Pastorello".
"Pirlo is playing and wants to continue to playing. I want to finish this season as a great season, not just a good one".
Speaking on the speculation surrounding his former player, Conte said: "I repeat, in this period I'm listening to a lot of things and this is very odd for example". Tottenham, who are now in second, were given hope when Chelsea dropped three points at the weekend.
"I think that the first goal, Diego provoked it and he played a good game and fought a lot for the team with good commitment", Conte told BT Sport.
He added: "I worked in Italy".
With Steve Holland leaving Stamford Bridge to join Gareth Southgate's England staff on a full-time basis, Chelsea will need to appoint a new assistant manager for Conte.
"I don't know why someone wants to put me in this type of situation".
Claudio Ranieri became legend in Leicester, after guiding the Foxes to an seemingly impossible Premier League title last season. "But anything can happen because there are 24 points (to play for) and other rivals can go in this race".
"We must think that Tottenham could win all their games".
Most important among them was "deepening our friendship" and building a trust in keeping with the Sino-US working relationship. The strikes followed Wednesday's suspected chemical attack on a rebel-held Syrian town which killed 89.
This moment has been in the making for 15 years, since SpaceX was founded in 2002 with the goal of revolutionising spaceflight. This process now takes up to four months, but getting this time down is beneficial for both SpaceX and its customers.
The Potters have won 23 points from their first 15 home games of a Premier League season for the third consecutive campaign. It is clear then that Mane's injury will have a big impact on Liverpool's pursuit of Champions League qualification.
Ronal Serpas, a former New Orleans police chief, says consent decrees can be a "key tool" in effective policing. Prudence Johnson urged the judge to sign the court-enforceable agreement, known as a consent decree .
Once that review is finalized, Greece will receive fresh disbursements from the 86 billion euro ($91.40 billion) bailout program. Greece has to reach an agreement with creditors in order to make its $7.5 billion debt payment in July.
The U.S. military admitted Saturday it conducted an airstrike March 17 and destroyed an ISIS truck loaded with explosives. That has the potential to undercut victories against the militants and stoke resentments that play into their hands.
The comments were made by a Foreign Ministry official and carried Sunday by North Korea's state-run Korean Central News Agency. Trump and other administration officials have said all options are on the table, including military action.