Liverpool were drawn on Thursday to face champions Real Madrid when they return to the Champions League, which has been expanded to a 36-team league format.
Shakhtar dominated possession as expected but were toothless up front and Inter opened the scoring with their first chance after 19 minutes.
A summary of Monday's action in LaLiga and Serie A.
AS Roma thrashed Parma 4-0 at home to cut Inter Milan's lead in the Italian Serie A to six points.
AC Milan clinched their first Italian Serie A
Real, Barca and Juve stand firm on Super League
AC Milan surged up to joint second in Serie A thanks to Filippo Inzaghi's hat-trick in a 5-1 home thrashing of lowly Torino on Sunday.
Barcelona thrashed Real Betis 5-1 on Wednesday to book their spot in the Copa del Rey quarter-finals.
Images from the Club World Cup quarter-finals between Paris St Germain-Bayern Munich and Real Madrid-Dortmund.
Serie A clubs AC Milan and Inter Milan are being investigated as part of a probe into suspected accounting fraud in Italian soccer.
Inter Milan have been fined 15,000 euros after fans chanted racist slogans about their former striker Mario Balotelli during a Serie A match on Sunday.
Inter have got through two-legged ties in all nine of their previous meetings with Olympique Marseille.
European champions AC Milan beat Lazio 1-0 at the San Siro on Sunday to join Juventus at the top of Serie A.
Claudio Marchisio blew open the Serie A title race when his superb goal gave 10-man Juventus a 2-1 win over leaders Inter Milan in an enthralling game on Saturday.
Inter Milan began their Serie A title defence with a 1-1 home draw with Udinese on Sunday after an Ivan Cordoba own goal in injury time, while AC Milan won 3-0 at promoted Genoa helped by Kaka's brace.
AC Milan were held 2-2 at struggling Torino on Sunday, leaving city rivals Inter Milan three points clear at the top of Serie A. Torino's Alessandro Rosina scored a 78th-minute penalty, which was conceded for handball by Kakha Kaladze, to earn the hosts a draw after Ronaldinho had put Milan 2-1 up with a spectacular free kick in the 34th.
In another match in the Amsterdam tournament, Ajax held Liverpool goalless.
European champions Barcelona will face Inter Milan, Dynamo Kiev of Ukraine and Russian newcomers Rubin Kazan when they open the defence of their crown following the draw for the Champions League group phase on Thursday.
AC Milan reached an agreement with Barcelona on Saturday to bring former Inter Milan striker Zlatan Ibrahimovic back to Italy in a move the club hope will ignite their title chances.
Barcelona's Cameroon striker Samuel Eto'o has agreed personal terms with Inter Milan, his agent said on Thursday as a swap deal involving Zlatan Ibrahimovic moved closer.
Inter Milan moved into the Italian Cup quarter-finals with a 2-0 victory over second-tier Verona on Tuesday.
Chelsea will look extremely familiar to Inter Milan coach Jose Mourinho for more reasons than one when the pair meet at the San Siro on Wednesday in their Champions League last 16 first-leg clash. Mourinho won two Premier League titles as manager of the London club while the two sides are very similar in style.
Salvatore Schillaci, who was born in the Sicilian city of Palermo and was hospitalised there, suffered from colon cancer.
Two goals from Ronaldinho helped AC Milan to a 3-0 win at toothless Juventus on Sunday which piled the pressure on Juve's rookie coach Ciro Ferrara.
Kevin Prince Boateng scored the first goal and impudently set up Robinho for the second to help rampant Serie A leaders AC Milan to a 3-0 win at troubled club Bologna on Sunday.
Inter Milan signed Ricardo Quaresma from Porto on a five-year deal on Monday after the Portugal winger passed a medical, the Serie A champions said on their website (www.inter.it).
Mourinho was hired as manager and technical director in June as Fenerbahce chase their first Turkish league title since 2014. He was attempting to get his new team into the revamped 36-team league stage of the Champions League, which he won with Porto in 2004 and Inter Milan in 2010.
The following is the draw for the Champions League last 16 which was held in Nyon on Monday:
He also finished the season five goals clear of the next leading scorer, Cristiano Ronaldo of Juventus.
Bayern Munich crowd favourite Thomas Mueller will leave the German record champions at the end of the season after 25 trophy-laden years.
Zlatan Ibrahimovic moved from Juventus to Italian rivals Inter Milan for $31.95 million.
Roma have taken just four points from their last five league matches, and were eliminated from the Coppa Italia last week in a 1-0 defeat to rivals Lazio.
Fiorentina, two goals down and reduced to 10 men, converted two quickfire penalties to draw 2-2 with AC Milan in Serie A on Sunday while a 12-minute hat-trick by German Denis gave Atalanta a 4-3 win at a stunned Inter Milan after they had trailed 3-1.
Former Chelsea player Didier Drogba defends Jose Mourinho, who has been accused of racism by Galatasaray.
Real Madrid will present Jose Mourinho as their coach on Monday after agreeing an undisclosed compensation deal with Inter Milan, the Spanish club said on Friday.
A second-half header from Mirko Vucinic gave AS Roma a 1-0 win at struggling AC Milan that lifted them into second spot in Serie A.
