Motherwell will enter the Europa League play-off round after Panathinaikos knocked the Scottish side out of the Champions League qualifiers.
Trailing 2-0 from the first leg, 'Well threatened when Keith Lasley's shot was palmed away by Orestis Karnezis.
A superb free-kick by Lazaros Christodoulopoulos gave the Greek side a 51st-minute lead.
Charalampos Mavrias and Ibrahim Sissoko netted further goals as Motherwell faded in the Athens heat.
Motherwell's first foray into the Champions League was a predictably short one, having been drawn against a side with an impressive European pedigree.
Panathinaikos looked in a hurry to settle the tie and striker Toche had two good chances to score in the first five minutes.
The Spaniard's 25-yard striker forced goalkeeper Darren Randolph to parry, while the 29-year-old should have done better moments later after going through on goal but he could only shoot wide.
Motherwell were on the back foot for long spells but skipper Lasley did get a glimpse of goal and his fierce effort from just outside the penalty area was pushed away by keeper Orestis Karnezis.
With the home side content to wait for a chance on the break, the visitors held out without too much trouble for the remainder of the first half.
Panathinaikos made another bright opening in the second period and only Simon Ramsden's last-gasp clearance prevented Toche from heading home Sissoko's cross.
And the breakthrough came when Greece international Christodoulopoulos summoned up a moment of magic.
There seemed to be little danger when Shaun Hutchinson fouled Sissoko 35 yards from goal but the forward, who also scored the opener at Fir Park, magnificently fired into the top corner via a slight nick off the post.
Panathinaikos continued to push forward and they had a claim for a penalty waved away when the ball struck Adam Cummins on the arm.
Toche was once again denied by Randolph, who magnificently saved the striker's point-blank header.
The one-way traffic continued and substitute Mavrias - scorer of Panathinaikos' second goal last week - extended the lead on the night in the 75th minute by racing away from Hutchinson and shooting past Randolph from 18 yards.
With Motherwell wilting, the scoring was completed eight minutes later.
Kostas Katsouranis broke down the right for the hosts and his cross into the centre was missed by Stevie Hammell and slotted home by Sissoko.
Panathinaikos were cutting open the visitors with ease and Randolph had to make a smart save with his legs in inury time to prevent Zeca from adding to the hosts' tally.
Full Time The referee blows his whistle to end the game.
Jose Carlos Zeca delivers the ball, blocked by Simon Ramsden.
Ibrahim Sissoko delivers the ball, Jose Carlos Zeca takes a shot. Save by Darren Randolph.
Corner taken by Ibrahim Sissoko, Loukas Vyntra challenges Shaun Hutchinson unfairly and gives away a free kick. Free kick taken by Darren Randolph.
Ibrahim Sissoko gives away a free kick for an unfair challenge on Keith Lasley. Free kick taken by Stevie Hammell.
The assist for the goal came from Kostas Katsouranis.
82:15 Goal scored
Goal! - Ibrahim Sissoko - Panath'kos 3 - 0 Motherwell Ibrahim Sissoko finds the back of the net with a goal from inside the six-yard box to the bottom left corner of the goal. Panathinaikos 3 (5)-(0) 0 Motherwell.
Inswinging corner taken by Ibrahim Sissoko from the right by-line, Darren Randolph makes a save.
Michael Higdon challenges Orestis Karnezis unfairly and gives away a free kick. Orestis Karnezis takes the direct free kick.
Substitution (Panathinaikos) makes a substitution, with Antonis Petropoulos coming on for Lazaros Christodoulopoulos.
Substitution Adam Cummins goes off and Zaine Francis-Angol comes on.
Substitution Omar Daley leaves the field to be replaced by Michael Higdon.
74:34 Goal scored
Goal! - Charalampos Mavrias - Panath'kos 2 - 0 Motherwell Goal scored by Charalampos Mavrias from deep inside the penalty area to the bottom left corner of the goal. Panathinaikos 2 (4)-(0) 0 Motherwell.
Ibrahim Sissoko has an effort at goal from long range that goes wide left.
Substitution Charalampos Mavrias on for Jose Toche.
The ball is sent over by Lazaros Christodoulopoulos, Header from deep inside the area by Jean Alain Boumsong goes harmlessly over the crossbar.
Booking The referee cautions Shaun Hutchinson for unsporting behaviour.
Lazaros Christodoulopoulos fouled by Shaun Hutchinson, the ref awards a free kick.
Effort on goal by Shaun Hutchinson from outside the penalty box goes harmlessly over the bar.
A cross is delivered by Ibrahim Sissoko, Jose Toche takes a shot. Save made by Darren Randolph.
Jamie Murphy is caught offside. Orestis Karnezis takes the indirect free kick.
Inswinging corner taken left-footed by Ibrahim Sissoko from the right by-line, Header from deep inside the penalty area by Jose Manuel Velasquez goes harmlessly over the crossbar.
Loukas Vyntra takes a shot. Save made by Darren Randolph.
Henrik Ojamaa delivers the ball, save made by Orestis Karnezis.
Henrik Ojamaa is ruled offside. Orestis Karnezis restarts play with the free kick.
Loukas Vyntra has a shot on goal from outside the area which misses left.
Shot from outside the box by Henrik Ojamaa goes wide right of the target.
Assist by Stergos Marinos.
50:12 Goal scored
Goal! - Lazaros Christodoulopoulos - Panath'kos 1 - 0 Motherwell Lazaros Christodoulopoulos scores a goal direct from the free kick from long distance to the top left corner of the goal. Panathinaikos 1 (3)-(0) 0 Motherwell.
Foul by Shaun Hutchinson on Stergos Marinos, free kick awarded.
The ball is swung over by Ibrahim Sissoko, Jose Toche takes a shot. Simon Ramsden gets a block in.
The second half kicks off.
45:00 +1:12 Half time
Half Time The first half comes to an end.
The offside flag is raised against Lazaros Christodoulopoulos. Simon Ramsden restarts play with the free kick.
Effort from just outside the area by Keith Lasley goes over the target.
Victor Vitolo concedes a free kick for a foul on Omar Daley. Free kick taken by Simon Ramsden.
Shaun Hutchinson challenges Jose Toche unfairly and gives away a free kick. Lazaros Christodoulopoulos restarts play with the free kick.
Omar Daley concedes a free kick for a foul on Victor Vitolo. Orestis Karnezis takes the direct free kick.
Loukas Vyntra is flagged offside by the assistant referee. Indirect free kick taken by Darren Randolph.
Keith Lasley is ruled offside. Orestis Karnezis restarts play with the free kick.
Foul by Stergos Marinos on Keith Lasley, free kick awarded. Free kick taken by Shaun Hutchinson.
Inswinging corner taken by Ibrahim Sissoko from the right by-line, Headed effort from deep inside the area by Victor Vitolo misses to the left of the goal.
Loukas Vyntra takes a shot. Simon Ramsden gets a block in.
Foul by Jose Carlos Zeca on Keith Lasley, free kick awarded. Simon Ramsden takes the direct free kick.
Keith Lasley gives away a free kick for an unfair challenge on Ibrahim Sissoko. Jose Manuel Velasquez restarts play with the free kick.
Nicky Law takes a shot. Save made by Orestis Karnezis.
Unfair challenge on Jean Alain Boumsong by Stevie Hammell results in a free kick. Jean Alain Boumsong takes the direct free kick.
Jose Toche is ruled offside. Free kick taken by Adam Cummins.
Jose Toche takes a shot. Shaun Hutchinson gets a block in.
The official flags Henrik Ojamaa offside. Jose Manuel Velasquez takes the free kick.
Outswinging corner taken left-footed by Ibrahim Sissoko, save by Darren Randolph.
Stergos Marinos gives away a free kick for an unfair challenge on Jamie Murphy. Nicky Law restarts play with the free kick.
Jamie Murphy crosses the ball, save by Orestis Karnezis.
Free kick awarded for a foul by Simon Ramsden on Ibrahim Sissoko. Lazaros Christodoulopoulos takes the direct free kick.
Free kick awarded for a foul by Keith Lasley on Stergos Marinos. Jean Alain Boumsong restarts play with the free kick.
Inswinging corner taken by Tom Hateley from the left by-line, clearance made by Jean Alain Boumsong.
Corner taken by Lazaros Christodoulopoulos from the left by-line, save by Darren Randolph.
Shot by Jose Toche from deep inside the penalty area misses wide to the left of the target.
Jose Toche takes a shot. Darren Randolph makes a save.
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