Celtic are already 11 points clear at the top of the Scottish Premiership, and they still have two games in hand on nearest challengers Rangers.

Brendan Rodgers’ side have won 14 and drawn one of their 15 league games so far, with Inverness the only side to take a point off the Bhoys thus far.

Their 1-0 success over Hamilton on Tuesday was their eighth successive league win, dating back to their 1-1 draw with Ross County on April 24, and they host Dundee on Saturday looking to extend their lead at the top.

However, it hasn’t all been plain sailing for Rodgers since his arrival in the summer, as Celtic are already out of the Champions League having finished bottom of Group C.

The Bhoys won none of their six group stage matches, although they’ll be encouraged with how well they played against Manchester City and Borussia Monchengladbach, having drawn both games with Pep Guardiola’s side and the away tie in Germany against Monchengladbach.

However, it was still a frustrating campaign for Rodgers’ side, and the former Liverpool manager has still got some things to improve at Celtic Park for his team to become regular features on the European stage.

Thus, here are THREE things he needs to change at Celtic…

European home form

When you look at Celtic’s Champions League group from this season, it was always going to be tough to not only qualify for the last 16, but to achieve third place and thus a spot in the Europa League.

And they made it harder for themselves by picking up just one point at Celtic Park.

Their 3-3 draw at home to Manchester City paved the way for further good displays in Europe in Glasgow, but their 2-0 defeat against Monchengladbach all but condemned them to bottom spot.

It was unlikely that Celtic will get anything out of the two Barcelona matches, and so it proved, but it was the Monchengladbach home game that has really cost them, as they did well to pick up points against the Germans and against City away from home.

Rodgers has got to get that home form right, as one point from nine just isn’t going to cut it.

Selling their best players

Over the last few years, Celtic have had a habit of cashing in one some of their best stars, with Southampton the main recipients of some of their prized assets.

Victor Wanyama, Fraser Forster, and Virgil van Dijk have all made the move south of the border in the last few seasons, all for over £10 million, and all are performing brilliantly in the Premier League – Wanyama has now moved to Tottenham as a result of his excellent displays for Southampton.

But if Celtic are serious about going deep in Europe, they have to try and retain some of these players, as these three in particular formed an excellent spine at Southampton last season in helping them to a sixth place finish in the Premier League.

Stopping selling their best players might not be easy, but it’s something Rodgers must attempt to do if he is to take Celtic to the next level in European competition.

Perception of Scottish football

Scottish football is perceived as a league that is easy for Celtic, and easy for any player playing for Celtic.

But Rodgers must try and change that perception.

Last season’s title race with Aberdeen was the closest any side has got to beating Celtic since Rangers’ demise down the Scottish Football League pyramid and, although they have struggled to match the Bhoys this season, Rangers’ re-emergence will no doubt help the Premiership.

Many view Celtic as a stepping stone for someone like Rodgers to get back into the Premier League, but he cannot and should not treat it like that – there is potential at Celtic Park to get them back into the Champions League on a regular basis.

He also, as manager of the best side in the league, is a representative of football as a whole in Scotland, and he has already had his say on whether they should play during the summer.

As Celtic boss, you are also an important part and voice of Scottish football in general, and already Rodgers is attempting to try and improve football in Scotland at all levels.