Hamburg manager Martin Jol saw his side continue to struggle, but Dynamo Kiev and CSKA Moscow both recorded victories in their first-leg ties in the last 16 of the Uefa Cup.
Jol has come under pressure in recent weeks following back-to-back domestic draws with Wolfsburg and Borussia Monchengladbach, and a share of the spoils with Galatasaray will do little to help the former Tottenham boss.
However, CSKA Moscow, who won the tournament in 2005, bolstered their pedigree when defeating Shakhtar Donetsk, and Dynamo Kiev earned an initial advantage in their all-Ukraine tie with Metalist Kharkiv.
Hamburg have fallen away from the pace in the Bundesliga following two successive defeats and a 1-1 home draw with Galatasaray will not have been top of Jol's wish list as he attempts to appease the critics.
Galatasaray had upset their German hosts by taking a first-half lead as Ayham Akman struck in off a post from the edge of the box in the 33rd minute.
However, the 1999/2000 winners were pegged back five minutes after the half-time interval as Hamburg equalised through a close-range Marcell Jansen volley.
Having conceded the equaliser, things went from bad to worse for Galatasaray - who were without suspended top scorer Milan Baros - as Emre Asik was sent off when challenging Mladen Petric.
CSKA earned a narrow first-leg advantage over former UEFA Champions League participants Shakhtar with a 1-0 first-leg win on the artificial pitch of the Luzhniki Stadium.
Both CSKA and Shakhtar went into the game in a confident frame of mood after defeating English opponents in the last round, Aston Villa and Tottenham, respectively, but it was the hosts who earned the bragging rights.
CSKA are ranked as second favourites, behind Manchester City, to lift the Uefa Cup in Istanbul on 20th May and Zico's men will be pleased not to have conceded an away goal as they attempt to meet that prediction.
After a goalless first half, CSKA's Brazilian striker Vagner Love reinforced his star reputation, as the competition's top scorer netted his 11th goal in nine outings this season when converting from the penalty spot.
In the 50th minute Razvan Rat fouled Milos Krasic inside the 18-yard area and, after Italian referee Nicola Rizzoli pointed to the spot, Vagner Love made no mistake.
Champions League drop-outs Dynamo reinforced their dominance over Metalist with a 1-0 first-leg victory at the Valeri Lobanovskiy stadium.
The fixture was the first time two Ukrainian sides had gone head-to-head in Uefa competition and also saw first meet second in their domestic league.
Dynamo, who sit 11 points clear at the top of the Ukraine Premier League, recorded a 1-0 win at Metalist on 4th March to reinforce their domestic dominance, and Yuri Semin's team repeated that scoreline in Europe.
The contest had been predictably hard fought during a first-half stalemate, but nine minutes after the break Dynamo demonstrated the neccesary quality to take the lead as Ognjen Vukojevic nodded home
Olexandr Aliyev's corner.