The first leg sees Derek McInnes's side make the lengthy, 4,000km-plus trip to Almaty, the largest, but not capital city of Kazakhstan in the South-Eastern corner of the country not far from the border with China.
The Almaty-based outfit possessed the Kazakhstan Premier League's best player last season in Bauyrzhan Islamkhan, but could only manage a third-place finish for the second straight season.
Last year they fell at the second qualifying round by going down 2-1 on aggregate to Danish side Esbjerg.
This time around they drew Armenian side Alashkert and a convincing 3-0 home win in the first leg led to a 4-2 aggregate triumph to set up this meeting with Aberdeen.
Nicknamed the People's Team, Kairat have been managed by former Slovakia coach Vladimir Weiss since 2012.
Their overall record in Europe is played 14, won six, drawn two and lost six.
Recent form: WWWL
Derek McInnes's side finished in the top two of Scottish football for the first time in over 20 years last term, ending the season 17 points behind champions Celtic.
It meant a place in the first qualifying round for the Europa League, and they squeezed past Macedonian outfit Shkendija on away goals before an impressive 3-0 win away in Croatia propelled them to a 5-2 aggregate victory over Rijeka last week.
It is the second year in a row that Aberdeen have been in the Europa League after their Scottish League Cup triumph in 2014 that earned them a place in last year's competition.
The Dons have matched their run from 12 months ago by reaching the third round and they will be confident of going one better this year with a more favourable draw.
Last year they conceded just one goal in the opening four ties to advance to the third round, but then let in five over two legs as they went down 5-3 on aggregate to David Moyes's Real Sociedad.
Speaking of Moyes, his predecessor at Manchester United, Sir Alex Ferguson, was in charge of the Dons during their European golden year in 1983 when they won the European Cup Winners Cup and European Super Cup.
After this week's trip to Kazakhstan, McInnes's men will hastily return home ahead of the opening day of the domestic season when they travel to face Dundee United on Sunday.
Recent form: DDWD
One player for Aberdeen to keep an eye on is Gerard Gohou, who has scored 30 goals in 33 games for Kairat since joining them last summer.
The Kazakhstani outfit have also recently signed Ukrainian veteran Anatoliy Tymoshchuk, formerly of Bayern Munich.
Kairat possible starting lineup:
Plotnikov, Markovic, Soares, Kuantayev, Tymoshchuk, Isael, Kuat, Islamkhan, Riera, Gohou, Lunin
Aberdeen possible starting lineup:
Ward, Quinn, Considine, Logan, Jack, Shinnie, Hayes, McLean, McGinn, Taylor, Goodwillie
Head To Head
These two sides have never met before.
The winner will advance to the playoff round of qualifying, the last stage before the groups where the 29 winners from the third qualifying round are joined by the 15 losers from the Champions League third qualifying round.
We say: Kairat 0-0 Aberdeen
Kairat have scored five goals in their previous two home ties in qualifying, and McInnes will be keen for his side to shut up shop so that they can put the tie to bed back at Pittodrie next week.